Question

For arithmetic progression, first term is -8 and last term is 55 if the sum of all these terms is 235 find the number of terms and the common difference

Answer 1

Answer: the common difference is 7.

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Step-by-step explanation:

a=-8, l=55, sn=235, d=?

Sn =n/2(a+l)

235=n/2(-8+55)

235x2 =n (47)

470 =47n

n= 470/47

n=10

an=a+(n-1)d

55= -8 +(10-1)d

55= -8+9d

55+8= 9d

63= 9d

d= 63/9

d=7

Answer 2

Step-by-step explanation:

answer is as above

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