Question

the next term in sequence 1'3'5'9...is

Answer 1

Answer:

13

Step-by-step explanation:

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Answer 2

Concept:

Arithmetic Progression (AP): is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value.

an = a + (n − 1) × d

where,

an= nth term of the AP

n= no. of terms

a= first term

d= common difference

Given:

A sequence 1,3,5,7,9,... is given

To find:

We need to find the next term of the sequence

Solution:

Now, from the given sequence we can understand that the sequence is an AP

Now to find $a_{n}$

a=1, n= 6, d=3-1=2

Therefore

$a_{n}=1+(6-1) \times2$

⇒$a_{n}=1+10=11$

Therefore, $a_{n}\ is\ 11$