Question

The 10th term of an AP is 100 and 12th term is 124.Find the

common difference of the AP
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Answer 1

Answer:

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Answer 2

Answer:

common difference of the AP

a=28 ; d=8

Step-by-step explanation:

Given:

10th term of an AP is 100

12th term of an AP is 124

tn = a + (n – 1) × d

t10=a+9d __(1)eq

t12=a+11d__(2)eq

Eleminating a from 1 and 2 equation

(1) = 100 =a+9d

(2)= 124 =a+11d (-)

tn = -24 = -3d

then d=-24/-3

d=8

substituting d=8 in eq 1

t10=a+9d __(1)eq

100=a+9(8)

then a=100-72

a=28