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Thursday 28 February 2013

Math

Math HL1Sequences & Series due Mon 1 Nov29 Oct 2009

put down work clearly on separate paper. Circle or underline answers.

The first three impairment of a ecological succession are 3, 6, 12. Which precondition equals 1536?
2.An arithmetic chronological succession has 5 and 13 as its first two terms respectively.
Write down, in terms of n, an bearing for the nth term, an .
demote the subprogram of terms of the sequence that have a value of less than 400.
3. Find the plus of the multiples of 7 between 100 and 400. Use a serial formula.
The first, second and the nth terms of an arithmetic sequence are 2, 6, and 58, respectively.
Find the value of n.
For that value of n, find the make value of the sum up of n terms of a geometric sequence
whose first term is 2 and common balance is 12 .
Considerthegeometricseries 2 + 2 + 1 + 1 + .2
(a) Write an expression for the value of the nth term, in terms of n.
Find the sum of the first six terms. Express the sum exactly.
Find the sum of the series if the number of terms goes to infinity. Express the sum exactly.
6.

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For what value of x will the expressions x ∠2, x ∠6 and 2x + 3 be consecutive terms in a geometric progression?
7. A geometric progression has first term 3 and its sum to infinity is 10. Find the common ratio r and the fourth term.
8.The first term of an arithmetic series is 7, the last term is 70 and the sum is 385. Find the number of terms, n, and the common difference, d.

Bonus
A rod one meter in continuance is divided into ten pieces whose lengths are in geometrical progression. The length of the longest piece is eight times the length of the shortest piece. Find, to the nearest millimeter, the length of the shortest piece.If you want to get a wide essay, order it on our website: Ordercustompaper.com



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