find the formulas of the Next three terms rule of 36, 49, 64, 81, .....

3 answers

next three terms are 100,121,144
here the formula is 6^2,(6+1)^2,(6+2)^2,.............
The difference in each term is:

13, 15, 17

So each time, the difference is increased by 2

The genera; formula for the next 3 terms:

(T_n-1 - T_n-2 + 2) + T_n-1 = T_n
=>

2*(T_n-1) -(T_n-2) + 2 = T_n

let n = the number of term (1,2,3..ect)

For the 5th term, apply the general formula:
n=5

2*T_4 - T_3 + 2 = T_5
2*81 - 64 + 2 = T_5

try for the next 2 terms.
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