Question

Find the 15th term of the following AP
1,6,11,16

Answer 1

Answer:

hi

Step-by-step explanation:

given

a=1,n=15,d=a2-a1

d=6-1=5,d=5

by applying formula

an=a+(n-1)d

put the value

an=1+(15-1)5

an=1+14×5

an=1+70

an=71

71 is the 15 term of given AP series

I hope you are satisfy for my answer

thank you

Answer 2

15th term of the AP,  1, 6, 11, 16 ... is 71

Given:

1, 6, 11, 16 ... is AP

To find:

15th term of the following AP 1, 6, 11, 16...

Solution:

Given 1, 6, 11, 16 ... is AP

Here, first term a₁ = 1

Second term a₂ = 6

Common difference d = a₂ - a₁  = 6 - 1 = 5

As we know nth term in AP = a + (n-1) d

⇒ 15th term of AP = a + (15 - 1)d

= a +14d

we know that from above data a = 1 and d = 5  

⇒ a +14d = 1 + 14(5) = 1 + 70 = 71  

Therefore, 15th term of AP = 71

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