nth Term of A.P
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Solve for x:
|x−1|+|x−2|+|x−3|≥6
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Let denotes the sum of terms of an AP. If , then the ratio
The interior angles of a polygon are in Arithmetic Progression. If the smallest angle be and the common difference be , then the number of sides of the polygon is
What is the value of ?
If and , then is equal to
is equal to ?
A={a1+a2+⋯+ak:k∈ N, a1, a2, a3, ⋯, ak∈S}, then the sum of all the elements in the set T−A is equal to
The 4th term of an A.P. is three times the first and the 7th term exceeds twice the third term by 1, find the first term and the common difference.
If mth term of an A.P. is n and nth term is m, then write its pth term.
member of the club is just 7 yr old and the sum of the ages of all the members is 250 yr, then the number of
members in the club are.
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The sum of terms of two arithmetic series are in the ratio, then the ratio of their terms is
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Complete the following series:
Given the sets then is
- 11π
- 9π
- 8π
- 12π
For any three positive real numbers and , . Then :
and are in A.P.
and are in A.P.
and are in G.P.
and are in G.P.
If the term of an A.P be , then the sum of its first terms will be
The function defined by is increasing for
If , and are in AP, then is equal to
The sum of three decreasing numbers in A.P. is . If are added to them respectively, the resulting series is in G.P. The numbers are
If 7th and 13th terms of an A.P. be 34 and 64 respectively, then its 18th term is
87
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90
What is equal to ?
Let be in Arithmetic progression with and . Find any integer with , let .If does not depend on , then is
None of these
In a certain A.P. the 24th term is twice the 10th term. Prove that the 72nd term is twice the 34th term.
The sum of three consecutive odd numbers is . What is the number?
After how many years does a leap year repeat itself
Find of the AP: sequence is
The third term of an A.P. is 7 and the seventh term exceeds three times the third term by 2. Find the first term, the common difference and the sum of first 20 terms.