3.4.1 Sequences and Series (A-level only)

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Question 26

a.

Expand $(81+54x)14\displaystyle (81 + 54x)^{\frac{1}{4}}$ in ascending powers of $x\,$ up to and including the term in $x^3$ . Give each coefficient as a simplified fraction.

[4]

b.

Write down the set of values of $x\,$ for which the expansion is valid.

[1]

3.4.1 Sequences and Series (A-level only)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42

Question 26

a.

Expand $(81+54x)14\displaystyle (81 + 54x)^{\frac{1}{4}}$ in ascending powers of $x\,$ up to and including the term in $x^3$ . Give each coefficient as a simplified fraction.

[4]

b.

Write down the set of values of $x\,$ for which the expansion is valid.

[1]

3.4.1 Sequences and Series (A-level only)

Question 26

3.4.1 Sequences and Series (A-level only) Questions

3.4.1 Sequences and Series (A-level only)

Question 26

3.4.1 Sequences and Series (A-level only) Questions