next three terms are 100,121,144
here the formula is 6^2,(6+1)^2,(6+2)^2,.............
find the formulas of the Next three terms rule of 36, 49, 64, 81, .....
3 answers
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.
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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