January 06th, 2014

1/6/2014

Happy New Year

Today we started Chapter 4 in T&T6 Sequences & Series

HW: Section 4.1 Q.1-3

tt6_4.1_sequences_6-1-2014.pdf
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6 Comments

1/6/2014 11:23:53 am

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?

Mr R

1/6/2014 11:52:57 am

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...

1/7/2014 12:23:55 pm

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?)

Mr R

1/9/2014 06:12:46 am

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.

1/7/2014 02:42:15 pm

Could you please put up the solutions to Q. 9 on 4.1?

Mr R

1/9/2014 06:17:28 am

These solutions are up now. Sorry about the delay.

January 06th, 2014

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Mr Roche

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