Question

the first s the last term of an ap are 8 s 65 respectively if the sum of all its term is 730 find the common of different

Answer 1

Given,
First term (a)=8
Last term (l)=65
Sum (Sn)=730
730=n/2(8+65)
730×2 =73n
1460=73n
n=1460/73
n=20
Now,
65=8+(20-1)d
65-8=19d
57=19d
d= 57/19
d=3
Therefore, common difference (d)=3
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Answer 2

Given; that the first and the last term of an ap are 8 s 65 respectively if the sum of all its term is 730

To Find; Common difference

Solution; First term of ap = 8

Last term an=65

Sum of terms =730

n(a+an)/2=730

n(8+65)=1460

n*73=1460

n=20

an=a+(n-1)d

65=8+19d

57=19d

d=3

Hence the common difference is 3