Question

The nth term of an AP is 7 + 4n, find the common difference.​

Answer 1

Answer:

nth term of an ap =7n -4n

e.g Tn=7 -4n

put n =1 then T1 =7 -4=3

put n = 2 then T2 =7 -4x2 =7-8 =-1

common difference =T2 -T1 = -1-3 = -4

hence common difference = -4

Answer 2

Step-by-step explanation:

n th term = a n =7+4n

a1 = 7+4(1) = 11

a2 = 7+4(2) = 22

a3 = 7+4(3) = 33

a4 = 7+4(4) = 44

so; d= a2 - a1 = a3 - a2

22 - 11 = 33 - 22

11 = 11

a3 - a2 = a4 - a3

33 - 22 = 44 - 33

11 = 11

so ; common difference (d) = 11

A.P. = 11 , 22 , 33 , 44 ...

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