Question

The nth term of an AP is 5,2,-1,-4,-7..... is ____​

Answer 1

Answer:

c) 8 - 3n

Step-by-step explanation:

Given that AP is 5, 2, -1, -4,-7 .....

We have to find the nth term of the AP.

First term = a = 5

Common difference = d = 2 - 5 = -3

number of terms = n

Used formula: an = a + (n - 1)d

Substitute the values,

→ an = 5 + (n - 1)(-3)  

→ an = 5 - 3n + 3

→ an = 8 - 3n

Hence, the nth term of an AP 5, 2, -1, -4, -7 .......... is 8 - 3n.

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Answer 2

SOLUTION

TO DETERMINE

The nth term of an AP is 5 , 2 , - 1 , - 4 , - 7 ....

CONCEPT TO BE IMPLEMENTED

If in an arithmetic progression

First term = a

Common difference = d

Then nth term of the AP

= a + ( n - 1 )d

EVALUATION

Here the given arithmetic progression is

5 , 2 , - 1 , - 4 , - 7 ....

First term = a = 5

Common Difference = d = 2 - 5 = - 3

Hence the required nth term of the AP

= a + ( n - 1 )d

= 5 + ( n - 1 ) × ( - 3 )

= 5 - 3n + 3

= 8 - 3n

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