find the next term 2,6,21,110,777
Answers
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
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.
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