How many terms are there in the AP is 18,1521,13,......,−47?.

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How many terms are there in the AP is 18, 1512, 13, ......, -4

Question

How many terms are there in the AP is $18, 15 \frac{1}{2}, 13, ......, - 47 ?$ .

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Scarlett Discussed

How many terms are there in the AP is

18, 15 \frac{1}{2}, 13, ......, - 47 ?

8 mins ago

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8 mins ago

Given: AP is

18, 31/2, 13, ....., - 47

Here, first term

= a = 18

Last term

= - 47

Common difference

= d = - 5/2

To find: the number of terms (n)

Last term

= a + (n - 1) d

- 47 = 18 + (n - 1) (- 5/2)

- 47 - 18 = (n - 1) (- 5/2)

n = 27

There are

27

terms.

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Question Text	How many terms are there in the AP is $18, 15 \frac{1}{2}, 13, ......, - 47 ?$ .
Answer Type	Text solution:1
Upvotes	150