Question

if the first term of an A.P is -25 and 8th term is 17,what is the common difference

Answer 1

Answer:

a= -25

a+7d=17

Put a= -25

-25+7d=17

7d=17+25

7d=42

d=42/7

d = 6

Step-by-step explanation:

Please mark brainliest if you found this useful...thank you

Answer 2

The common difference between the AP is 6.

Given:-

The first term of an AP = -25

Number of terms = 8

Eighth term of an AP = 17

To Find:-

The common difference between the AP.

Solution:-

We can simply calculate the common difference of the AP by using the following procedure.

As

The first term of an AP (a) = -25

Number of terms (n) = 8

Eighth term of an AP (an) = 17

Common difference (d) =?

According to the formula of Arithmetic Progression,

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

On putting the values, We get

$17 = - 25 + (8 - 1)d$

$17 + 25 = 7d$

$7d = 42$

$d = \frac{42}{7}$

$d = 6$

Hence, The common difference between the AP is 6.

#SPJ2