Question

Read the question in the picture .

Answer 1

Answer:

128

Step-by-step explanation:

because 2×4=8

8×4=32

32×4=128

hope it helps uh

Answer 2

Answer:

1st option

128

Note:

★ A sequence in which the ratio between the consecutive terms are equal is called Geometric progression (GP) or geometric sequence .

★ The general term of a GP is given by ;

a(n) or T(n) = a•r^(n - 1)

★ The general form of a GP is ;

a , ar , ar² , ar³ .....

Solution:

Given : Sequence -> 2 , 8 , 32 , ...

To find : Next term ie; T(4) = ?

Here,

T(2) / T(1) = 8/2 = 4

Also,

T(3) / T(2) = 32/8 = 4

Clearly,

T(2) / T(1) = T(3) / T(2) = 4

Thus,

The given sequence is in GP whose first term, a = 2 and common ratio ,r = 4

Now,

We know that ,

T(n) = a•r^(n - 1)

Thus,

=> T(4) = a•r^(4 - 1)

=> T(4) = a•r³

=> T(4) = 2•4³

=> T(4) = 2•64

=> T(4) = 128

Hence,

Next term = 128