Question

The next two terms are 1, 8, 22, 43___ , ____ is

Answer 1

Answer:

1, 8, 22, 43, 71, 106

Step-by-step explanation:

These are centered heptagonal numbers.

Centered heptagonal number is centered figure number that represents a heptagon with dot in center and all other dot surrounding in heptagonal form. Nth centered heptagonal number can be calculated by using formula

(7n2 – 7n + 2) / 2.

Hope it helps you

Answer 2

Answer:

1 , 8 , 22 , 43 , 71 , 106

Solution:

Given series:

1 , 8 , 22 , 43 , 71 ,

We have to find the next term in series

Let us analyse the logic used in series

\begin{gathered}First\ term = 1\\\\Second\ term = 1 + 7 = 8\\\\Third\ term = 8 + 14 = 22\\\\Fourth\ term = 22 + 21 = 43\\\\Fifth\ term = 43 + 28 = 71\end{gathered}

First term=1

Second term=1+7=8

Third term=8+14=22

Fourth term=22+21=43

Fifth term=43+28=71

Thus, successive term are found by adding multiples of 7 with previous term

Therefore,

Next\ term = 71 + 35 = 106Next term=71+35=106

Thus the next term in series is 106

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