How many multiples of 4 lie between 10 and 262?

Cabiolab

Cabiolab

Answered question

2021-08-02

How many multiples of 4 lie between 10 and 262

Answer & Explanation

Isma Jimenez

Isma Jimenez

Skilled2021-08-03Added 84 answers

How many multiples of 4 lies between 10 and 262?
The terms will be: 12,16,20,24, ... ..., 260
Now, this is an A.P series with the starting term be 12 and the common difference is 4.
And the formula for the n-th term of an A.P is: an=a+(n1)d
Where, a is the starting term, n is the number of term and d is the common difference.
Step 2
Substituting the values for, an=260,d=4 and a=12, we get:
260=12+(n1)4
26012=4n4
2608=4n
n=2524=63
Therefore, there are 63 terms in between 10 and 262 that are multiples of 4.

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