Sequences and Series in Calculus
Math ⇒ Calculus
Sequences and Series in Calculus starts at 11 and continues till grade 12.
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See sample questions for grade 12
Determine whether the series ∑n=1∞ 1/(n(n+1)) converges or diverges.
Explain the difference between absolute convergence and conditional convergence of a series.
Find the sum of the first 10 terms of the arithmetic sequence 2, 5, 8, 11, ...
Find the sum of the first 5 terms of the geometric sequence 3, 6, 12, 24, ...
Given the series ∑n=1∞ 1/2n, find its sum.
If a sequence is monotonic and bounded, what can be said about its convergence?
If the nth term of a sequence is an = 3n - 2, what is the 5th term?
If the sequence an = (-1)n does not converge, what is the reason?
If the sequence an = 1 + 1/2 + 1/3 + ... + 1/n, what is the name of this sequence?
If the sum to infinity of a geometric series is 8 and the first term is 2, what is the common ratio?
State the difference between a sequence and a series.
State the necessary condition for the convergence of the infinite series ∑ an.
