Question

Which term of the A.P. 4,9,14,19, ..., is 79?

Answer 1

Answer:

16th term of the A.P. is 79.

Step-by-step explanation:

Given :-

A.P : 4, 9, 14, 19

To find :-

Which term of the above A.P. is 79 ?

Solution :-

Here,

First term (a) = 7

Common difference (d) = (9 - 4) = 5

Now, general term of an A.P

Tₙ = a + (n - 1)d = 79

• 4 + (n - 1)5 = 79
• 5n = (79 - 4 + 5)
• 5n = 80
• n = 16

∴ 16th term of the A.P. is 79.

Answer 2

Answer:

an = a + (n-1) d

79 = 4 + (n-1)5

79 = 4 + 5n - 5

79 = 5n - 1

5n = 79 + 1

5n = 80

n = 80/5

n = 16

Step-by-step explanation:

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