Question

Which term of the AP 1,4,7,....IS 79? *

Answer 1

Answer:

27th term

Step-by-step explanation:

In APs, nth term = a + (n - 1)d,  a is first term and d is comm. diff.

Here, a = 1   ; d = 4 - 1 = 3

Let 79 be the nth term-

⇒ 79 = 1 + (n - 1)3

⇒ 79 - 1 = (n - 1)3

⇒ 78/3 = n - 1

⇒ 26 = n - 1

⇒ 27 = n

Answer 2

Given :

Let the number of term be 79

To find :

Which term of the AP 1,4,7,....IS 79?

Solution :

In AP, the nth term = a + (n-1)d

a = the first term

d = common difference between two terms

Here,

a= 1

d =(4-1) = 3

According to the problem :

79=1+(n-1)3

79=1+(3n-3)

79=1-3+3n

79=3n-2

3n=79+2

3n=81

n=81/3

n=27

Therefore 27 is the term of the AP.

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