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:
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
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