Question

2.
(a) If the 7th and 19th terms of an A.P. are 62 and 2 respectively, find the first term and the
common difference.
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Answer 1

Answer:

Given that,

a+6d=62

a+18d=2

solve these two equations,

we get,

a=92,d=-5

Step-by-step explanation:

Hope it helps you frnd.......

Answer 2

Answer:

Step-by-step explanation:

given

a is the first term, d is common diff

a7=a+6d=62  ---> eqn 1

a19=a+18d=2 ---->eqn 2

multiply eqn 1 by 3 and solve

3a+18d=186

a+18d=2

on solving 2a=184

a=92

to find common difference

using eqn 1

92+6d=62

6d= -30

d= -5

the final answer is

a=92

d= -5