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Question

Hi all, ps help. Many this and God Bless:)

Observe the patterns:

Pattern A           Pattern B

1×8+1=9             9-0=9

12×8+2=98        98-9=89

123×8+3=987    987-98=889

(a) Write down the 7th line of the Pattern A

(b) Deduce the 8th line of the Pattern B

Sequence C is given as:  9, 89, 889, ….

Sequence D is given as:  1, 11, 111, ….

Sequence E has the following rule

nth term of Sequence E = nth term of Sequence C + nth term of Sequence D

(c) Write the nth term of Sequence E as a power of 10

(d) Hence find the sum of the first 9 terms of Sequene E.

Answer

post-19228
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Thank you very much, JieHeng

May I know how do u derive the answer for part (c)? God Bless:)

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post-19244
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