Sequences and series questions | form three Basic Mathematics

How many terms of the series 3 + 6 + 9 + 12 + . . . are needed for the sum to be 630?

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UNSOLVED

The sum of the first three terms of a G.P is 13. Find the sum of the first five terms if the common ratio of the G.P is

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UNSOLVED

1. Exaplain with examples the relationship between sequence and series.
2. Show that the sum of the first n natural numbers is given by the formula
3. By using the formula in (b) above calculate the sum of the first 100 natural numbers.

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UNSOLVED

Identify whether the series 5+10+20+…. is an arithmetic progression or a geometric progression and hence find ;

1. The sum of the 8^th , 9^th and 11^th terms
2. The value of n for which the n ^th term is 2560

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UNSOLVED

(a) If the sum of n terms of a geometric progression with first term 1 and common ratio   is  , find the number of terms.
(b) How many integers are there between 14 and 1,000 which are divisible by 17?

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UNSOLVED