Question

142 is a term of the A.P. 14 ,18, 22 , true or false ​

Answer 1

Answer:

True, 142 is the 33rd term of the given A.P

Step-by-step explanation:

Given:

• An A.P 14, 18, 22....

To Find:

• If 142 is a term of the given A.P or not

Solution:

Let us assume that 142 is a term of the given A.P

Let aₙ = 142

Now we have to which term of the A.P is 142.

We know that,

$\boxed {\sf a_n=a_1+(n-1)\times d}$

where a₁ is the first term,

d is the common difference,

n is the number of terms

Here,

d = a₂ - a₁

d = 18 - 14

d = 4

Substitute the given data,

142 = 14 + (n - 1) × 4

142 - 14 = 4n - 4

4n - 4 = 128

4n = 132

n = 132/4

n = 33

Hence the 33rd term of the A.P is 142.

That is, 142 is a term of the given A.P

Hence the given statement is true.

Answer 2

Step-by-step explanation:

ok88w99292w92929o292929