Q. 3 A4.8( 4 Votes )

# Find the nth term

Formula Used.

dn = an + 1 – an

an = a + (n–1)d

In the above sequence,

a = 2;

d1 = a2–a1 = 7–2 = 5

d2 = a3–a2 = 12–7 = 5

d3 = a4–a3 = 17–12 = 5

The difference in sequence is same and comes to be 5 .

The above sequence is A.P

The nth term of A.P is an = a + (n–1)d

an = a + (n–1)d = 2 + (n–1)(5)

= 2 + 5n–5

= –3 + 5n

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