Arithmetic and Geometric Progressions - ICSE STD 10 Mathematics Questions

Q 1[1 Mark Question Answer]1 Mark

Find the sum of the following A.P.s : 2, 7, 12, … to 10 terms

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Q 2[1 Mark Question Answer]1 Mark

Which term of the A.P. 7, 13, 19, … is 205?

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Q 3[1 Mark Question Answer]1 Mark

Which term of the A.P. 3, 8, 13, 18, … is 78?

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Q 4[1 Mark Question Answer]1 Mark

If the first term of an A.P. is – 18 and its 10th term is zero, then find its common difference.

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Q 5[1 Mark Question Answer]1 Mark

If the common difference of an A.P. is $– 3$ and the 18th term is $– 5,$ then find its first term.

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Q 6[2 Mark Question Answer]2 Marks

Find the sum of first $22$ terms, of an A.P. in which $d = 7$ and $a_{22}$ is $149$.

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Q 7[2 Mark Question Answer]2 Marks

In an A.P. (with usual notations) : given a = 3, n = 8, S = 192, find d.

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Q 8[2 Mark Question Answer]2 Marks

In an $A.P$., the sum of its first n terms is $6n – n^2$. Find is $25th$ term.

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Q 9[2 Mark Question Answer]2 Marks

Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.

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Q 10[2 Mark Question Answer]2 Marks

Find the 12th from the end of the A.P. – 2, – 4, – 6, …; – 100.

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Q 11[3 marks sum]3 Marks

Solve for x : 1 + 4 + 7 + 10 + … + x = 287.

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Q 12[3 marks sum]3 Marks

The first and the last terms of an A.P. are 17 and 350 respectively. If the common difference is 9, how many terms are there and what is their sum?

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Q 13[3 marks sum]3 Marks

The sum of first $15$ terms of an $A.P.$ is $750$ and its first term is $15$. Find its $20^{th}$ term.

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Q 14[3 marks sum]3 Marks

In an $A.P.$ (with usual notations) : given $a = 8, a_n = 62, S_n = 210$, find n and d

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Q 15[3 marks sum]3 Marks

In an A.P. (with usual notations) : given $d=5, S_9=75$, find a and $a _9$

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Q 16[4 marks sum]4 Marks

How many terms of the A.P. 24, 21, 18, … must be taken so that the sum is 78? Explain the double answer.

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Q 17[4 marks sum]4 Marks

How many terms of the A.P. 25, 22, 19, … are needed to give the sum 116 ? Also find the last term.

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Q 18[4 marks sum]4 Marks

The first term of an A.P. is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.

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Q 19[4 marks sum]4 Marks

The sum of first six terms of an arithmetic progression is 42 . The ratio of the 10 th term to the 30 th term is $\frac{1}{3}$. Calculate the first and the thirteenth term.

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Q 20[4 marks sum]4 Marks

The sum of first n terms of an A.P. whose first term is 8 and the common difference is 20 equal to the sum of first 2n terms of another A.P. whose first term is – 30 and the common difference is 8. Find n.

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Arithmetic and Geometric Progressions question types

Arithmetic and Geometric Progressions questions

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Arithmetic and Geometric Progressions Mathematics - Arithmetic and Geometric Progressions

Arithmetic and Geometric Progressions question types

Arithmetic and Geometric Progressions questions

Generate a Arithmetic and Geometric Progressions paper free