Question

The number of terms of an AP 5, 9, 13, .... 185 is​

Answer 1

Answer:

46

Step-by-step explanation:

Given:

l = 185

a = 5

d = 4

To find:

n = ?

Solution:

l = a + (n - 1)d

185 = 5 + (n - 1)4

185 = 5 + 4n -4

185 = 1 + 4n

185 - 1 = 4n

184 = 4n

184/4 = n

46 = n

Hope it helps you.

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Answer 2

Given: AP 5, 9, 13,.....185

To find: number of terms

Solution:

• So, as we have the Arithmetic Progression, we can find the first term, last term and the common difference of the AP.

• So, the first term is 5,

        last term is 185

•    and the common difference will be calculated by the formula b-a

             9-5 = 4

• To find the number of terms, we have the formula:

l = a + (n - 1)d

• Where l is last term, a is the first term, d is common difference and n is number of terms.

• So calculating further we get:

185 = 5 + (n - 1)4

185 = 5 + 4n -4

185 = 1 + 4n

185 - 1 = 4n

184 = 4n

184/4 = n

             46 = n

Answer:

          Number of terms are 46.