Question

4. Which term of the AP 5,12,19,... will be 84 more than its 15th term? 2 points 20th 35th 26th 27th

Answer 1

Answer:

27th term.

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Answer 2

Given:

AP = 5,12,19,

To Find:
Term which will be 84 more than its 15th term

Solution:

a1 = 5

n = 15 ( As the 15th term is to be found out )

d = a2 - a1

= 12 - 5

= 7

Using the formula -

an = a + ( n-1)d

Thus,

a15 = 5 + ( 15 - 1)7

a15 = 5 + 98

a15 = 103

84 more than the 15th term -

= 103 + 84

= 187

This implies,

an = 5 + ( n - 1)7

187 = 5 + 7n - 7

187 = -2 + 7n

7n = 189

n = 189/7

= 27

Answer: The 27th term will be 84 more than its 15th term