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Write the Sequence with Nth Term: an = 9 − 5n - CBSE Class 10 - Mathematics

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Question

Write the sequence with nth term: an = 9 − 5n

Solution

In the given problem, we are given the sequence with the nth term `(a_n)`

We need to show that these sequences form an A.P

an = 9 − 5n

Now, to show that it is an A.P, we will find its few terms by substituting  n = 1,2, 3

So

Substituting n = 1we get`

`a_1 = 9 - 5(1)`

`a_1 = 4`

Substituting n = 2we get

`a_2 = 9 - 5(2)

`a_2 = -1`

Substituting n = 3we get

`a_3 = 9 - 5(3)`

`a_3 = -6`

Further, for the given sequence to be an A.P,

Common difference (d)  = `a_2 - a_1 = a_3 - a_2`

Here

`a_2 - a_1 = -1 - 4

= -5

Also

`a_3  - a_2 = -6 - (-1)`

 = -5

Since `a_2 - a_1 = a_3 - a_2`

Hence, the given sequence is an A.P.

  Is there an error in this question or solution?

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Solution Write the Sequence with Nth Term: an = 9 − 5n Concept: Arithmetic Progression.
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