The 8times the 2th term of an arithmetic progression is 9 greater than the 5 nd term. Find the common difference and the first term of the arithmetic progression. th term and the 10 th term is 10

How many terms of the series 3 + 6 + 9 + 12 + ... are needed for the sum to be 630?

Given that 49, x and 81 are consecutive terms of a geometric progression. Find:

(i)   The value of x.

(ii)The geometric mean.

  The sum of the first two terms of a geometric progression is 18 whereas the sum of the second and third term is 54, find the first term and the common ratio.

  Jennifer saved sh. 6 million in a Savings Bank whose interest rate was 10% compounded annually. Find the amount in Jennifer’s savings account after 5 years.

The third, fifth and eighth terms of  arithmetic progression  A.P form the first three terms of Geometric Progression G.P . If the common difference of the A.P is 3, find

(i)The first term of the G.P

(ii)The sum of the first 9 terms of the G.P to one decimal place.

Find the sum of first eight terms of the following sequence 1, -2, 4, -8 . . . . .  

A wall is in the shape of a trapezium. The first level of wall is made-up of 50  bricks where as the top level has 14 bricks. If the levels differ from each other by 4 bricks, determine the number of 

(i) levels of the bricks.

(ii) bricks used to make the wall.

A wall is in the shape of a trapezium. The first level of wall is made-up of 50  bricks where as the top level has 14 bricks. If the levels differ from each other by 4 bricks, determine the number of 

(i) levels of the bricks.

(ii) bricks used to make the wall.

How many integers are there between 14 and 1,000 which are divisible by 17?

If the fifth and the sixth terms of a Geometric Progression (G.P.) are 162 and 486 respectively, find the common ratio and the first term of the G.P.

A farmer wants to plant 6 mango seedlings in a row at a fixed interval of 7 metres.

Determine the length of the row.

The sum of the first six terms of an A.P is 72 and the second term is seven times the fifth term.

1. Find the first term and the common difference
2. Find the sum of the first ten terms

Find the sum of the first four terms of a geometric progression which has a first term of 1 and a common ratio of

The product of a three terms of a geometric progression (GP) is 8000. If the first term is 4. Find the second term and third term

Mahona invested a certain amount of money in a Savings Bank whose interest rate was 10% compounded annually. After two years he got 5000 shillings.

i. How much did he invest at the start? 

ii. How much did he receives as Interest at the end of two years.

The 20^th term of an arithmetic progression is 60 and the 16^th term is 20. Find the sum of the first 40 terms.

Nyaumwa invested a certain amount of money in a bank which pays interest rate of 6 percent after every 6 months. After 5 years, his total savings were sh 9,600,000. Determine the amount of money Nyaumwa invested initially.

The first term of an arithmetic progression is 12 and the common difference is 10. Find the n^th term.

Find the amount of money accumulated at the end of 2 years after investing 500,000 shillings at a compound interest rate of 10% annually.

Find the sum of the first four terms of a geometric progression which has a first term of 1 and a common ratio of  .

If the 5^th term of an arithmetic progression is 23 and the 12^th term is 37, find the first term and the common difference.

A certain geometric progression has a common ratio of 2 and the sum of the first five terms is 155. Find the first term and give the formula for the n^th term.

Given the series 100 + 92 + 84 +.....

Find

1. the 20^th term
2. the sum of the first 20 terms. (6 marks)

Compute the sum of the first ten terms of the series 1+5+9+....

The 5th term of A.P is 23 and the 12^th term is 37. Find

(i)The eleventh term

(ii)The sum of the first eleventh terms by using the values computed above without using the common difference for this progression.

Find the general term and hence the 30^th term of the sequence

1, -2, 4, -8, ......

Find the 10^th term of a sequence whose first three consecutive terms are 5, 15 and 45. (Leave the answer in exponent form).

Find the first term and the common difference of an arithmetic progression whose 5^th term is 21 and 8^th term is 30.

The fifth and eleventh terms of an arithmetic progression are 8 and -34 respectively. Find the sum of the first ten terms

A school wishes to invest Tshs. 100,000,000 in a bank which pays an interest rate of 2% compounded annually

1. Find the total amount of money that will be accumulated after two years.
2. Calculate the interest after two years

A rectangular garden ABCD is 400m long and 300m wide. The seedlings are to be planted along the diagonal BD at equal intervals of 1.25m as shown in the following figure.

Find the number of seedlings that were planted

  If an arithmetic progression has A₁ as the first term and d as the common difference,  

1.  write the second, third, fourth and fifth terms.
2.  Establish the formula for the sum of the first five terms of the arithmetic progression by using the results in part (i). 

 The first and second terms of a geometric progression are 3 and 9 respectively.

1. Find the third, fourth and fifth terms.
2. Verify that the sum of the first 5 terms is given by      

   

   by using the results in part (i).    

If the sum of n terms of a geometric progression with first term 1 and common ratio is  , find the number of terms.