Question

Q.1 find the 7th , 8th and 14th term in the arithmetic progression for following 2,6,10,14....​

Answer 1

Answer:

these are the correct values for the ap series

Answer 2

Given:

The Arithmetic progression is 2, 6, 10, 14 .................

To find:

find the 7th , 8th and 14th term

Solution:

From the given series;

2, 6, 10, 14...........

We have;

First term -> a = 2

Common Difference ->d= 6-2 = 4

Here we have to find the value of the 7th , 8th and 14th term

n=7

• aₙ = a+(n-1)d

• a₇ = 2+(7-1)4

• a₇ = 2+6×4

• a₇ = 2+24

• a₇ = 26

n = 8

• aₙ = a+(n-1)d

• a₈ = 2+(8-1)4

• a₈ = 2+ 7×4

• a₈ = 2+ 28

• a₈ = 30

n = 14

• aₙ = a+(n-1)d

• a₁₄ = 2+(14-1)4

• a₁₄ = 2+ 13×4

• a₁₄ = 2+52

• a₁₄ = 54

The 7th , 8th and 14th terms are 26, 30, and 54