Question

If x+4, 3x-2, 4x -2, are in arithmetic sequence a) find value of x? b) write the sequence? c) find the 'n'th term of the sequence? 1 SEE ANSWER

Answer 1

Answer:

a. x is 6

b. 10, 16 ,22

c. 6n+4

Step-by-step explanation:

if these 3 terms are in A. P.

then there difference will be same

so (3x-2)-(x+4) = (4x-2)-(3x-2)

on solving it we get

2x-6= x

so we get x =6

on substituting value of x

we get the original terms as

10 ,16 ,22

now first term of AP is 10 and the common difference is 6

so nth term is

= 10+(n-1)6

=6n+4