Question

find the middle term of the AP. 6,9,12.....

Answer 1

In this AP Series:::-----
a = 6
d = 3
a +( n-1 )=99
6 +(n-1)d=99
6+ 3n-3=99
3n = 90
n=30
Now middle term will be 15.
a+(n-1)d
6+42
48
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Answer 2

CORRECT QUESTION:

Find the middle term of the AP. 6,9,12.....The number of terms in the series is 23.

ANSWER:

The middle term of the series is $39.$

Step-by-Step explanation:

Given: The series $6 ,9,12,...$ and number of terms which is $23$.

To Find The middle term.

Solution:

• The first term a = $6$
• The difference d $= 9 - 6 = 3$
• The number of terms is $23$.
• Middle term is $\frac{n + 1}{2}$

            $=\frac{ 23 + 1}{2}$

            $= \frac{24}2} = 12th$ term.

• $12th$ term $= a + (n-1) d$

                $= 6 + (12 - 1)3$

                $= 6 + 33$

                $= 39$.

• Therefore, the $12th$ term is $39.$

PROJECT CODE: #SPJ3