Question

a2=20, a17=56 find the common difference

Answer 1

Answer:

$a2 = 20$

a+d=20

d=20-a..........(i)

$a17 = 56$

$a + 16d = 56$

a+16(20-a)=56

a+320-16a=56

-15a+320=56

-15a=-264

$a = \frac{264}{15} = \frac{88}{5}$

$d = 20 - \frac{88}{5}$

$d = \frac{100 - 88}{5} = \frac{12}{5}$

$common \: difference = \frac{12}{5}$

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