Question
Download Solution PDFHow many terms are there between 15, 20, 25, _____,135 ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
15, 20, 25, _____,135
Concept used:
an = a + (n - 1)d
d = difference between two terms
a = inital term
n = total number of terms
Calculation:
a = 15
d = 20 - 15 = 5
an = 135
On putting the available values in the formula,
⇒ 135 = 15 + (n - 1)5
⇒ 135 - 15 = 5n - 5
⇒ 120 + 5 = 5n
⇒ n = 125/5
⇒ n = 25
Mistake Points
According to the question,
we will exclude the first term 15 and the last term 135 from the total number of terms then we will get no. of terms between 15 and 135.
Number of terms between 15 , 20, 25.........135 are
⇒ 25 -2 = 23
∴ The correct answer is 23.
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