How many terms are there in the AP 6, 10, 14, 18, …. 174?

1.	How many terms are there in the AP 6, 10, 14, 18, …. 174?
Answer» Given: AP is 6, 10, 14, 18,…, 174 Here, first term = a = 6 Common difference = d= 10 – 6 = 4 To find: the number of terms (n) Last term = a + (n – 1)d 174 = 6 + (n – 1) 4 174 – 6 = (n – 1) 4 n – 1 = 168 /4 = 42 n = 42 + 1 = 43 There are 43 terms.

Answer»

Given: AP is 6, 10, 14, 18,…, 174

Here, first term = a = 6

Common difference = d= 10 – 6 = 4

To find: the number of terms (n)

Last term = a + (n – 1)d

174 = 6 + (n – 1) 4

174 – 6 = (n – 1) 4

n – 1 = 168 /4 = 42

n = 42 + 1 = 43

There are 43 terms.

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