Question

Which term of the sequence-1,-3,7,11,....,is 95?

Answer 1

Step-by-step explanation:

The number of term the sequence is 25.

Step-by-step explanation:

The given sequence are:

-1, 3, 7, 11....

Here, first term(a) = - 1, common difference(d) = 3 - (- 1) = 4 and a_{n}=95a

n

=95

To find, the number of term the sequence = ?

Let the number of term = n

We know that,

a_{n} =a+(n-1)da

n

=a+(n−1)d

⇒-1+(n-1)4=95−1+(n−1)4=95

⇒ (n-1)4=95+1=96(n−1)4=95+1=96

⇒n-1=\dfrac{96}{4} =24n−1=

4

96

=24

⇒ n=24+1=25n=24+1=25

Hence, the number of term the sequence is 25.

Answer 2

Answer:

Step-by-step explanation:

In a Given A.P ;

a = 3

d = 7-3 = 4

On the contrary let 144 be the nth term of A.P

Tn = 144

n = ?

Tn = a+(n-1)d

144 = 3+(n-1)4

n-1 = 141/4

n = 35.25+1

n = 36.25

As the value of n is a decimal or number, hence 144 is not the term of given A.P