1.

Is 184 a terni. of the sequence 3, 7, 11, ...

Answer»

Answer:

184 is not a term in this Sequence.

Step-by-step explanation:

We have,

3, 7, 11,....

So, here we have an A.P,

whose a = 3

d = 7 - 3 = 4

Now,

Let the NTH term be 184

Then, according to our formula,

a(nth) = a + (n - 1)d

a(nth) = 184

a = 3

d = 4

So,

184 = 3 + (n - 1)(4)

184 - 3 = (n - 1)4

181 = 4(n - 1)

181/4 = n - 1

n = (181/4) + 1

n = (181/4) + (4/4)

n = (181 + 4)/4

n = 185/4

Now,

Since the number of terms can't be a fraction, it can be said that 184 is not a term in this Sequence.

A simple PROOF to it is that,

All numbers in this A.P are odd and since an even number is being ADDED as common difference, it will always be odd no matter what.

odd + even = odd

So, all the terms in the A.P is odd, then 184 will never be in the sequence as 184 is an even number.

Hope it helped and believing you understood it....All the best


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