Question

Write 5th term from the end of the A.P. 3, 5, 7, 9, ..., 201.

Answer 1

Answer:

The 5th term from the end of the A.P is 193.

Step-by-step explanation:

Given :  

A.P. 3, 5, 7, 9, ....,201.

Let 'l' be the last term of an A.P

Here,  l = 201, a = 3, a2 = 5

d = a2 – a

d = 5 - 3 =  2

nth term from the end = l - (n - 1)d

5th term from the end = l - (n - 1)d

5th term from the end = 201 - (5 - 1) × 2

5th term from the end = 201 - 4 × 2

5th term from the end = 201 - 8

5th term from the end = 193

Hence, the 5th term from the end of the A.P is 193.

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Answer 2

Given:

$a = 3 \\ \\ d = 5 - 3 = 2 \\ \\ l = 201 \\ \\ a_{5} = l - (n - 1)d \\ \\ a_{5} = 201 - (5 - 1)2 \\ \\ a_{5} = 201 - 4 \times 2 \\ \\ a_{5} = 201 - 8 \\ \\ a_{5} = 193$

Answer : 193