Question

10th term of the AP 10, 7, 4....., is?

Answer 1

Answer:

17

Step-by-step explanation:

a=10

d=7-10 =-3

a10= a + 9d

a10= 10+(-3×9)

a10=10+(-27)

a10 = -17

Answer 2

The 10th term of AP 10, 7, 4....., is -17.

Given:

An AP 10, 7, 4.....,.

To Find:

10th term of the AP.

Solution:

To find the 10th term of the AP, we will follow the following steps:

As we know,

The nth term of an AP is given by the formula:

$t = a + (n - 1)d$

Here, d is the common difference between two successive terms.

a is the first term and n is the term number to be found.

So,

a = 10

d = 7-10 = -3

n = 10

Now,

In putting values we get,

$t = 10 + (10 - 1) (- 3)$

$t = 10 + 9 \times ( - 3)$

$t = 10 - 27 = - 17$

Henceforth, the 10th term of AP 10, 7, 4....., is -17.

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