Question

How many terms are there between 30 and 450 which are divisible by 4?

Answer 1

Answer:

105

Step by step explanation:

AP is: 32,36,40,......,448.

a=32

tn=448

d=4

n=?

tn=a+(n-1)d

448=32+(n-1)4

416=4n-4

420=4n

Therefore

n=420/4

=105

Therefore there are 105 terms between 30 to 450 which are divisible by 4.

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Answer 2

Answer:

Step-by-step explanation:

30,31......................450

We know 30 and 31 is not divisible by 4

So,

32,36,40.......................448

a= 32

d= 4

An= 448

We know,

An=a+(n-1)d

448=32+(n-1)4

(n-1)4=448-32

(n-1) = 416/4

n-1= 104

n=105

So the 105 term are divisible by 4 Between 30 to 450

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