# Sequences and Binomial Expansions

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3. Write the first four terms of the defined sequence

a lower case 1 = 1

a lower case n=na lower case n-1, n>1

9. Write the following in summation notation 3+6+9+12+15

10. Write the following in summation notation:

x+x^2/2 + x^3/6 + x^4/24

14. Find the fifth term in the expansion of (a + b)^16

15. Write the binomial expansion of (3x-5y)^4

16. Write the first three terms in the binomial expansion of (2x^5 + 3t^2)^12

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Sequences and Binomial Expansions are investigated. The solution is detailed and well presented.

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The solution is attached below (next to the paperclip icon) in two formats. one is in Word XP Format, while the other is in Adobe pdf format. Therefore you can choose the format that is most suitable to you.

Remember that by definition 0!=1 (I did not say that explicitly in the attached solution)

We use the recursive ...

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