Find the number of terms in the expansion of: from Mathematics

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 Multiple Choice QuestionsShort Answer Type

1. Find the number of terms in the expansion of:

left parenthesis 2 minus 3 straight x right parenthesis to the power of 6


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2. Find the number of terms in the expansion of:

open parentheses straight x over 2 minus 3 over straight x close parentheses to the power of 11



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3. Find the number of terms in the expansion of:

left parenthesis straight x minus 2 straight y right parenthesis to the power of straight m comma space straight m space element of space straight N





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4. Find the number of terms in the expansion of:

left parenthesis 1 plus straight x plus straight x squared right parenthesis cubed







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5. Find the number of terms in the expansion of:

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left parenthesis 1 plus 2 straight x plus straight x squared right parenthesis to the power of 4 space equals space left square bracket left parenthesis 1 plus straight x right parenthesis squared right square bracket to the power of 4 space equals space left parenthesis 1 plus straight x right parenthesis to the power of 8 space rightwards double arrow space straight n space equals space 8

∴ Number of terms in the expansion = n + 1 = 8 + 1 = 9
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6. Using Binomial Theorem, indicate which number is larger left parenthesis 1.1 right parenthesis to the power of 10000 space or space 1000.
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7.

Prove that:  sum from straight r equals 0 to straight n of 3 to the power of straight r space straight C presuperscript straight n subscript straight r space equals space 4 to the power of straight n.

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8. Using Binomial Theorem, evaluate the following:

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9. Using Binomial Theorem, evaluate the following:

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10. Find an approximation of (0.99)5 using the first three terms of its expansion.
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