# Match the AP’s gi

(A1)

AP is 2, - 2, - 6, - 10, ….

So common difference is simply

a2 - a1 = - 2 - 2 = - 4 = (B3)

(A2)

Given

First term, a = - 18

No of terms, n = 10

Last term, an = 0

By using the nth term formula

an = a + (n - 1)d

0 = - 18 + (10 - 1)d

18 = 9d

d = 2 = (B5)

(A3)

Given

First term, a = 0

Tenth term, a10 = 6

By using the nth term formula

an = a + (n - 1)d

a10 = a + 9d

6 = 0 + 9d

= (B6)

(A4)

Let the first term be a and common difference be d

Given that

a2 = 13

a4 = 3

a2 - a4 = 10

a + d - (a + 3d) = 10

d - 3d = 10

- 2d = 10

d = - 5

= (B1)

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