Question

find the middle term of 9,15,21,27,...,177​

Answer 1

Answer:

33,39,45,51,57,63,69,75,81,87,93,99,105,111,117,123,129,135,141,147,153,159,165,171

Answer 2

Answer:-

39

Explination:-

Let's look at the sequence term by term:

a1=9

a2=15

a3=21

Notice that: a2−a1=6 and a3−a2=6

We can deduce that: an+1=an+6

We can test this on the 4th term: a4 should equal 21+6=27

Since this checks out we can say that the sequence is an arithmetic progression with a common diference of 6.

∴a5=27+6=33

and

a6=33+6=39

《 Hope It Helps》