Question

the first term of an arithmetic sequence is - 11 and common difference is 4 and nth term is 137. find the number of term​

Answer 1

Answer:

Correct answer:

17

Explanation:

To find the common difference d, use the formula a1+4d=a5.

For us, a1 is 10 and a5 is 38.

10+4d=38

Now we can solve for d.

4d=28

d=7

Add the common difference to the first term to get the second term.

a2=a1+d=10+7=17

Answer 2

Answer:

38

Step-by-step explanation:

In AP, nth term = a + (n - 1)d, where a is first term and d is common difference.

Here,

a = - 11

d = 4

Therefore,

= > nth term = a + (n - 1)d

= > 137 = - 11 + (n - 1)4

= > 137 + 11 = (n - 1)4

= > 148 = (n - 1)4

= > 148/4 = n - 1

= > 37 = n - 1

= > 37 + 1 = n

= > 38 = n