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Sequences and Series
A set of numbers arranged in a definite order according to some definite rule is called a sequence. A sequence is a function whose domain is the set N of natural numbers. Indicated sum of the terms in a sequence is called a series. The result of performing the additi..
What is the number series of the figure pattern up to fifth term?
What is the number series of the figure pattern up to fifth term? => 15, 14, 12, 9, 5 or 5, 4, 3, 2, 1 or 13, 12, 11, 10, 9 or 14, 13, 11, 9, 5..
The sum of an infinite geometric series is 12 times the first term. Wh..
The sum of an infinite geometric series is 12 times the first term. What is its common ratio? => 12 11 or 1 12 or 1 11 or 11 12..
In an arithmetic series, the sum of first 16 terms is 560 and the comm..
In an arithmetic series, the sum of first 16 terms is 560 and the common difference is 6. What is the first term? => -4 or -16 or -10 or 2..
In an arithmetic series, the sum of first 16 terms is 672 and the comm..
In an arithmetic series, the sum of first 16 terms is 672 and the common difference is 10. What is the first term? => -43 or -33 or -23 or -13..
In an arithmetic series, the sum of first 12 terms is 552 and the comm..
In an arithmetic series, the sum of first 12 terms is 552 and the common difference is 8. What is the first term? => - 6 or 18 or 2 or 10..
Sequences and Series Summary
Summary - (i) Let X be a set of numbers and f : N n X be a function, then the ordered set {f(1), f(2),...., f(n)} is called a finite sequence in X. (ii) Let X be a set of numbers and f : N X be a function, then the ordered set {f(1), f(2),....} is called an infinite sequence in X. If {T n } is a se..
In a geometric series a1 = 243 and 6th term is 32. Find the sum of the..
In a geometric series a 1 = 243 and 6 th term is 32. Find the sum of the first 6 terms. => 665 or 32 or 825 or 275..
Use sigma notation to write the arithmetic series 4 + 8 + 12 + 16 + . ..
Use sigma notation to write the arithmetic series 4 + 8 + 12 + 16 + . . . for 8 terms...
What is the sum of the first 4 terms of the geometric series 1 + 6 + 3..
What is the sum of the first 4 terms of the geometric series 1 + 6 + 36 + ... ? => 16 or 6 or 216 or 259..
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