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English Medium Class 10 - CBSE Question Bank Solutions for Mathematics

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If Sn denotes the sum of the first n terms of an A.P., prove that S30 = 3(S20 – S10).

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

Write the common difference of an A.P. whose nth term is an = 3n + 7.

 
[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

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Which term of the sequence 114, 109, 104, ... is the first negative term?

 
[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

Write the value of a30 – a10 for the A.P. 4, 9, 14, 19,....

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

Write 5th term from the end of the A.P. 3, 5, 7, 9, ..., 201.

 
[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

Write the value of x for which 2x, x + 10 and 3x + 2 are in A.P.

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

Write the nth term of an A.P. the sum of whose n terms is Sn.

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

Write the sum of first n odd natural numbers.

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

Write the sum of first n even natural numbers.

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

If the sum of n terms of an A.P. is Sn = 3n2 + 5n. Write its common difference.

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

Write the expression for the common difference of an A.P. whose first term is a and nth term is b.

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

The first term of an A.P. is p and its common difference is q. Find its 10th term.

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

For what value of p are 2p + 1, 13, 5p – 3 are three consecutive terms of an A.P.?

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

If `4/5`, a, 2 are three consecutive terms of an A.P., then find the value of a.

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

If the sum of first p term of an A.P. is ap2 + bp, find its common difference.

 
[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

Write the nth term of the \[A.P. \frac{1}{m}, \frac{1 + m}{m}, \frac{1 + 2m}{m}, . . . .\]

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

Mark the correct alternative in each of the following:
If 7th and 13th terms of an A.P. be 34 and 64 respectively, then its 18th term is

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

If the sum of P terms of an A.P. is q and the sum of q terms is p, then the sum of p + q terms will be

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

If the sum of n terms of an A.P. be 3n2 + n and its common difference is 6, then its first term is ______.

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined

The first and last terms of an A.P. are 1 and 11. If the sum of its terms is 36, then the number of terms will be

[5] Arithmetic Progressions
Chapter: [5] Arithmetic Progressions
Concept: undefined >> undefined
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