Sir, how can you find the nth term of a sequence when it's not a linear? E.g: 1, 4, 9 , 16, 25. is the formula Tn=a+(n-1)d only for finding out Tn of a linear?
yes the formula Tn= a+(n-1)d only works if there is a common difference.
The pattern in 1, 4, 9, 16, 25.. is that of perfect squares. Tn = n^2 so T6 = 6^2 = 36 etc...
Thanks Sir. will it always be to the power of something if there is no common difference? Or will there be other formulas? (how did you come up with that formula?)
The course covers different types of patterns/sequences including Arithmetic/Linear, Quadratic, Geometric and Exponential patterns. The first common difference is only constant for Linear/Arithmetic sequences. There are a few other formulas that we'll meet in this chapter.
Could you please put up the solutions to Q. 9 on 4.1?
These solutions are up now. Sorry about the delay.