Q. 3 C4.0( 4 Votes )

# Find the nth term

Formula Used.

dn = an + 1 – an

an = a + (n–1)d

In the above sequence,

a = 1000;

d1 = a2–a1 = 900–1000 = –100

d2 = a3–a2 = 800–900 = –100

The difference in sequence is same and comes to be (–100).

The above sequence is A.P

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

an = a + (n–1)d = 1000 + (n–1)(–100)

= 1000–100n + 100

= 1100–100n

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