Question

find the next two term and the general term of the given number. 1 8 27 64 125 216 ​

Answer 1

Answer:

general term = n³

Next two terms = 343, 512

Step-by-step explanation:

Given sequence = 1, 8, 27, 64, 125, 216 ​

This order is the cubes of consecutive numbers.

1³ = 1

2³ = 8

3³ = 27

4³ = 64

5³ = 125

6³ = 216

The next two terms:

7³ = 343

8³ = 512

The general term is n³

Answer 2

As per the data given in the question,

We have to determine the next two terms of the given number series.

As per question,

The given number series is 1, 8, 27, 64, 125, 216

If we carefully observe the number,

We will get to know that,

Cube of 1 is 1, while the cube of 2 is 8.

In the same way, we can say that,

$1 = 1^3\\8 = 2^3\\27=3^3\\64=4^3\\125=5^3\\216=6^3$

So, the next two terms will be cube of 7 and 8.

So, we will get the next two number as,

$7^3 = 343\: and\:8^3=512$.

So, the next two number will be 343 and 512.