Question

Missing term of the sequence 1/216: 1/125 ? 1/27

Answer 1

Answer:

1/64

Step-by-step explanation:

216=6x6x6

125=5x5x5

64=4x4x4

27=3x3x3

Answer 2

The missing term of the sequence is $\frac{1}{64}$.

Solution:

The given sequence is

$\frac{1}{216}, \ \frac{1}{125}, \ ?\ , \ \frac{1}{27}$

To find the missing term of the sequence.

216 = 6 × 6 × 6 = 6³

125 = 5 × 5 × 5 = 5³

27 = 3 × 3 × 3 = 3³

Now, see the sequence

$\frac{1}{6^3 }, \ \frac{1}{5^3}, \ ?\ , \ \frac{1}{3^3}$

6 < 5 < ___ < 3

Here the missing number is 4.

6³ < 5³ < ___ < 3³

The missing term is 4³.

4³ = 4 × 4 × 4 = 64

So the sequence is

$\frac{1}{216}, \ \frac{1}{125}, \ \frac{1}{64}, \ \frac{1}{27}$

Hence the missing term of the sequence is $\frac{1}{64}$.

To learn more . . .

https://brainly.in/question/14912084

https://brainly.in/question/4888027