Question

An=2n-1 then s2 is equal t

Answer 1

Answer:

S2=4

Step-by-step explanation:

an=2n+1

S2=?

a=2n-1. a2 = 2n-1

=2(1)-1. = 2(2)-1

= 2-1. = 4-1

= 1. =3

S2= 3+1

=4

Answer 2

If $a_{n}=2n-1$, then $S_{2}$ is equal to 4.

Step-by-step Explanation

Given:

• $a_{n}=2n-1$

To be found:

To find the sum of two terms, $S_{2}$ of the given progression.

Solution:

We have, $a_{n}=2n-1$ for the $n^{th}$ term.

Solving for the first term (n=1) of the progression, we get

$a_{1}=2(1)-1\\\implies a_{1}=2-1\\\implies a_{1}=1$  -------(1)

Solving for the second term (n=2) of the progression, we get

$a_{2}=2(2)-1\\\implies a_{2}=4-1\\\implies a_{2}=3$  --------(2)

Now, the sum of the two terms of the progression, $S_{2}$ is calculated as

$S_{2}=a_{1}+a_{2}$

From (1) and (2), we get

$S_{2}=3+1\\\implies S_{2}=4$

Hence, if $a_{n}=2n-1$, then $S_{2}=4$.

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