Question

Find the next term of the arithmetic sequence after $13$:
$3,5,7,9,11,13,...$

• A. 15

Answer 1

The correct option is A 15
$\underset{–}{ConceptInvolved:}$

When the successive term in a numerical pattern is formed by adding a fixed constant value to the previous term, the sequence obtained is an arithmetic sequence.

$\underset{–}{Method:}$
Here, 2 is the fixed constant value that is added to the previous term to obtain the successive term.

$3+2=5$
$5+2=7$
$7+2=9$
$9+2=11$
$11+2=13$

Next term = Previous term + Fixed Constant

Next term
$=13+2=15$

15 is the next term after 13 in this arithmetic sequence.