Question

In A.P the first term is 2, the last term is 29 and the sum of the terms is 155. Find the common difference of A.P

Answer 1

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Answer 2

Answer:

The common difference of the A.P is 3

Step-by-step explanation:

Given :  

First term, a = 2 and Last term, an (l) = 29 and Sn = 155

By using the formula ,Sum of nth terms , Sn = n/2 [a + l]

155 = n/2 [2 + 29]

155 × 2 = n × 31

310 = 31n

n = 310/31

n = 10

By using the formula ,an = a + (n - 1)d

29 = 2 + (10 -1) d

29 = 2 + 9d

29 – 2 = 9d

27 = 9d

d = 27/9

d = 3

Hence, the common difference of the A.P is 3

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