When some numbers are arranged successively under a definite rule such that the relationship between any two successive terms is known, the resulting set is called a —
- aseries
- bsequence
- cfunction
- dprogression
103 questions · 11 sections
When some numbers are arranged successively under a definite rule such that the relationship between any two successive terms is known, the resulting set is called a —
For the set of natural numbers , the corresponding set of square numbers is obtained by the rule ?
The general term of the sequence is —
Standard notation for a sequence with general term is —
In the sequence , the second term is —
The number of terms of any sequence is —
The general term of the sequence is —
The general term of the sequence is —
The general term of the sequence is —
The general term of the sequence is —
The general term of the sequence is —
The sequence generated by the general term is —
The sequence generated by the general term is —
The first term of the sequence with general term is —
If the terms of a sequence are connected successively by a "" sign, then the result is called a —
A series in which the ratio between two successive terms is constant is called —
A series in which the difference between two consecutive terms is constant is called —
The series is an example of a —
Depending on the number of terms, series can be divided into how many classes?
Which of the following is one of the two classes of series based on number of terms?
Consider the following statements:
The -th partial sum of an infinite series is the sum of —
For an infinite series, the 3rd partial sum is —
The sum of the first terms of the arithmetic series is —
The value of for the series is —
The value of for the series is —
The value of for the series is —
As increases, the partial sum of —
The infinite series —
For the series , the second partial sum is —
For the series , the third partial sum is —
For the series , when is even, equals —
For the series , when is odd, equals —
The sum of the infinite series —
The -th term of the geometric series is —
For the geometric series with , the partial sum up to -th term is —
The sum of the infinite geometric series exists when —
When and , the value of —
If , the sum to infinity of is —
The notation for the sum to infinity of an infinite geometric series is —
If , the infinite geometric series becomes and its -th partial sum is —
If , the infinite geometric series is , whose sum —
If in an infinite geometric series, then —
The condition for is equivalent to —
For the infinite geometric series with , , the sum to infinity is —
For the infinite geometric series with , , the sum to infinity is —
For the infinite geometric series with , , the sum to infinity —
For the infinite geometric series with , , the sum to infinity is —
For the infinite geometric series with , , the sum to infinity is —
The sum to infinity of is —
For the infinite geometric series , the sum to infinity is —
Consider the following statements about an infinite geometric series :
As an infinite geometric series, is written as —
The common ratio of the geometric series is —
The rational fraction representing is —
The rational fraction representing is —
For converting to a fraction, the infinite geometric part has first term and common ratio —
The rational fraction representing is —
For the infinite geometric series , when , the common ratio is —
For the same series with , the first term is —
For the same series with , the 5th term is —
For the same series with , the sum of first terms is —
For the series to have sum to infinity, the condition on is —
For the same series, the sum to infinity (when it exists) is —
The 10th term of the sequence is —
The 15th term of the sequence is —
The -th term of the sequence is —
The 10th term of the sequence whose -th term is is —
The 15th term of the sequence whose -th term is is —
The 10th term of the sequence is —
The 15th term of the sequence is —
For the sequence with , if , the value of satisfies —
For the sequence with , if , the value of satisfies —
For the sequence with , when is sufficiently large, the limiting value of is —
The sum to infinity of is —
The sum to infinity of is —
The sum to infinity of —
The sum of the first terms of the series is —
The sum of the first terms of the series is —
For the series , the sum to infinity exists when —
For the same series, the sum to infinity (when it exists) is —
The repeating decimal as a rational fraction is —
The repeating decimal as a rational fraction is —
The sum of three consecutive terms of a geometric series is and their product is . Taking the three terms as , the equation from the product is —
From the same problem, the value of is —
From the same problem, if the common ratio is , then the first term of the three is —
From the same problem, with first term and common ratio , the sum of the resulting infinite geometric series is —
What is the 20th term of a sequence whose -th term is ?
The -th term of a sequence is and . Then —
What is the 10th term of the series ?
What is the sum of the series up to infinity?
The 15th term of the sequence is —
The sum to infinity of the series is —
The repeating decimal as a rational fraction is —
The first term of an infinite geometric series is and the sum to infinity is . The common ratio is —