Question

Write the common difference of an AP whose nth term is
an = 3n+ 7.​

Answer 1

Step-by-step explanation:

a1 = 3×1+7= 10

a2 = 3×2+7=13

therefore the common difference will be,

a2-a1 = 13-10 = 3

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Answer 2

Answer:

an = 3n + 7…………(1)

Put n = 1 in eq 1

a1 = 3×1 +7

a1 = 3 +7

a1 = 10

Put n= 2 in eq 1

a2=  3×2+7

a2 = 6 +7

a2 = 13

Put n = 3 in eq 1

a3 = 3×3 +7

a3= 9 +7

a3 = 16

First three terms of an  AP are= 10, 13, 16

Common difference (d) = a2 - a1 or a3 - a2

d =  a2 - a1= 13 -10

d = 3

Hence,  the common difference of an AP is 3.