Math, asked by GSATHWIK, 7 months ago

find the next term 2,6,21,110,777​

Answers

Answered by PixleyPanda
6

We need to find the 5th term

an=a+(n-1)d

a5=3+(5-1)-2

a5=3+(4)-2

a5=3-8

a5=-5

So, the next term is-5

Answered by SteffiPaul
0

Therefore the next term in the series 2, 6, 21, 110, and 777 is 8,558.

Given:

The series of numbers: 2, 6, 21, 110, and 777.

To Find:

The next term of the given series 2, 6, 21, 110, and 777.

Solution:

The given question can be solved very easily as shown below.

Given a series of numbers = 2, 6, 21, 110, and 777.

The second number '6' is obtained using the logic shown below.

⇒ 6 = ( 2 × 2 ) + 2 [ Where 2 is the previous number and it is multiplied with the '2' prime number and then added with '2']

The third number '21' is obtained using the following logic.

⇒21 = ( 6 × 3 ) + 3 [ Where '6' is the previous number and it is multiplied with '3' next prime number after '2' and then added with '3']

Similarly, the fourth number '110' is obtained using the following logic.

⇒ 110 = ( 21 × 5 ) + 5 [ Where '21' is the previous number and it is multiplied with '5' next prime number after '3' and then added with '5']

Similarly, the fifth number '777' is obtained using the same logic.

⇒ 777 = ( 110 × 7 ) + 7

And finally, the next term in the series can also be found using the same logic.

⇒ x = ( 777 × 11 ) + 11 = 8,547 + 11 = 8,558

Therefore the next term in the series 2, 6, 21, 110, and 777 is 8,558.

#SPJ2

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