Question

Which term of the A.P. 17,22,27....is 107?
A.P.17,22,27 का कौन सा पद 107 है ?​

Answer 1

Answer:

Given:a =17

d=22-17=5

l=107

since, l=a+(n-1)d

=>107=17+(n-1)5

=>107=17+5n-5

=>107=22+5n

=>107-22=5n

=>5n=85

=> n=85÷5

=>n=17

Thus,107 is the 17th term of the above A.P.

Answer 2

The 19th term of A.P. is 107.

Step-by-step explanation:

Given : A.P. 17,22,27....

To find : Which term of the A.P. is 107?

Solution :

The given A.P is 17,22,27....

The first term is a=17

The common difference is d=22-17=5

The nth term is $a_n=107$

The nth term formula is $a_n=a+(n-1)d$

Substitute the values,

$107=17+(n-1)5$

$90=(n-1)5$

$n-1=\frac{90}{5}\\n-1=18\\n=18+1\\n=19$

Therefore, the 19th term of A.P. is 107.

#Learn more

Question 1 Which term of the A.P. 121, 117, 113 … is its first negative term? [Hint: Find n for an < 0]

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