Question

14. Find the missing term in the geometric sequence: 3, ___, 27 *
a.3
b.6
c.9
d.13

Answer 1

Answer:

the geometric sequence given is:

3,−9,27,−81 ...

When provided with a geometric sequence we must first calculate the common ratio r

r is obtained by dividing a term by its preceding term

1) −93=−3

2) 27−9=−3

for this sequence the common ratio r=−3 the first term a=3

and n=6

The 6th term can be obtained through formula

Tn=arn−1=3×−3(6−1)

=3×−35

=3×−243=−729

Answer 2

The given G.P - 3, __ , 27

= 3 , __ , 3³

Options -

a) 3 ❌

b) 6 ❌

c) 9 = 3² ✅

d) 13 ❌

Hence the answer is 9