A sequence is defined by and

MATHEMATICS · Multi-part · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

A sequence is defined by

u_1=-12

and

u_{n+1}=u_n+7

, where

n\geq1

. (1) Prove that the sequence is arithmetic. (2) Find the

200

th term of the sequence. (3) Is

1000

a member of the sequence?