Question

4. In an A.P., the common difference is 3, first term is 1 then its 10th term is
(A) 27 (B) 29
(C) 30
(D) 28
(​

Answer 1

Answer:

The 10th term of an A.P. is 28. option (D) 28 is correct.

Step-by-step explanation:

Consider the provided information.

Here in this question we are provided that common difference (d) is 3, first term (a) is 1 and nth term is 10.

And, we need to find out the 10th term of an A.P.

We know that,

aₙ = a + (n - 1) × d

Substituting all the given values in the formula, we get:

$\implies a_{10} = 1 + (10 - 1) \times 3$

$\implies a_{10} = 1 + 9 \times 3$

$\implies a_{10} = 1 + 27$

$\implies a_{10} = 28$

Hence, the 10th term of an A.P. is 28. option (D) 28 is correct.

#Learn more:

The full form of A.P. is Arithmetic Progression.

General term of an AP.

In an AP with first term a and common difference d, the nth term is given by,

$\qquad \: a_n = a + (n - 1) d$

Here, aₙ is the nth term of an AP, a is the first term of an AP, n is the nth term from the end of an AP, and d is the common difference of an AP.

Answer 2

Given :-

In an A.P., the common difference is 3, first term is 1

To Find :-

10th term

Solution :-

We know that

$\bf a_n = a + (n-1)d$

Where

a = first term

n = number of term

d = difference

$\sf a_{10} = 1 +(10-1)3$

$\sf a_{10}= 1 + (9)3$

$\sf a_{10} = 1 + 27$

$\sf a_{10} = 28$

Henceforth

Option D is correct