Question

find the next three terms of sequence 8,24,72​

Answer 1

Answer:

Hi there mate!!

let me help you,

see if we see this sequence:-

8,24,72,

we will notice, that:-

8×3=24

24×3=72

therefore the next three numbers will be the product of the last number and 3

72×3=216

216×3=648

648×3=1944

therefore the sequence is ......

8,24,72,216,648,1944

Hope you liked the answer

Answer 2

The next three terms of sequence is 216,648,1944.

Step-by-step explanation:

Given : Sequence 8,24,72,..

To find : The next three terms of sequence ?

Solution :

If we observe the sequence it is in geometric progression.

As the ratio between two consecutive term is same.

$\frac{a_2}{a_1}=\frac{24}{8}= 3\\\\\frac{a_3}{a_2}=\frac{72}{24}= 3$

i.e. r=3 and first term is a=8

The fourth term is $a_4=ar^3$

$a_4=(8)(3)^3=216$

The fifth term is $a_5=ar^4$

$a_5=(8)(3)^4=648$

The sixth term is $a_6=ar^5$

$a_6=(8)(3)^5=1944$

Therefore, the next three terms of sequence is 216,648,1944.

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