Series RTEQ.P. Code 31/-3/1
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Unit test · Ch 8: Predicting What Comes Next: Exploring Sequences and Progressions
Time allowed : 40 MinutesMaximum Marks : 20
General Instructions :
Read the following instructions carefully and follow them :
(i)This question paper contains 11 questions. All questions are compulsory.
(ii)This question paper is divided into three sections – A, B and C.
(iii)In Section A, Question numbers 1 to 5 carry 1 mark each.
(iv)In Section B, Question numbers 6 to 8 are very short answer (VSA) type questions carrying 02 marks each.
(v)In Section C, Question numbers 9 to 11 are short answer (SA) type questions carrying 03 marks each.
(vi)Draw neat figures wherever required. Take π = 22/7 wherever required, if not stated.
(vii)Use of calculators is not allowed.
SECTION A
This section comprises 5 questions of 1 mark each.
1.1
Write the next two terms of 1, 4, 9, 16, …
2.1
Find the common difference of the AP 7, 3, −1, …
3.1
Find the common ratio of the GP 2, 6, 18, …
4.1
Find 1 + 2 + 3 + … + 20.
5.1
Find the 5th term of tₙ = n² − 2n + 3.
SECTION B
This section comprises 3 very short answer (VSA) type questions of 2 marks each.
6.2
Are 172 and 98 terms of the sequence tₙ = 5n − 3? Give reasons.
7.2
t₁ = −5 and tₙ₊₁ = tₙ + 3. Write the first five terms. Is 52 a term?
8.2
Find the 10th term and the nth term of the GP 5, 25, 125, …
SECTION C
This section comprises 3 short answer (SA) type questions of 3 marks each.
9.3
For the AP 3, 8, 13, 18, …: (a) find the 10th term; (b) find which term is 128; (c) decide whether 200 is a term.
10.3
A ball dropped from 80 m rises to 60% of its previous height after each bounce. (a) Find the heights after the 1st, 2nd and 3rd bounces. (b) Write an explicit formula for the height after the nth bounce. (c) Is this an AP or a GP?
11.3
Find 11 + 12 + 13 + … + 40 in two ways.
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