All In One ICSE Mathematics Class 10>Chapter 9 - Arithmetic and Geometric Progression>Topic Exercise>Q 10

MEDIUM

10th ICSE

IMPORTANT

Earn 100

If the sum of first n terms of an AP is given by $S_{n} = n (4 n + 1)$ , then find the nth term of the AP. Also, find the AP.

Important Questions on Arithmetic and Geometric Progression

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 9 - Arithmetic and Geometric Progression>Topic Exercise>Q 11

The sum of first six terms of an arithmetic progression is

42

. The ratio of its

10^{t h}

term to its

30^{t h}

term is

5, 13, 21 . . . . .

. Calculate the first and the

13^{t h}

terms of the AP.

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 9 - Arithmetic and Geometric Progression>Topic Exercise>Q 12

Prove that the sum of later half of

2 n

terms of an A.P is equal to one-third of the sum of the first

3 n

terms.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 9 - Arithmetic and Geometric Progression>Topic Exercise>Q 13

Yasmeen saves

₹ 32

during the first month,

₹ 36

in the second month and

₹ 40

in the third month. If she continues to save in this manner, in how many months will she save

₹ 2000

?

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 9 - Arithmetic and Geometric Progression>Topic Exercise>Q 14

228

logs are to be stacked in a store in the following manner:

30

logs in the bottom,

28

in the next row, then

26

and so on, in how many rows can these

228

logs be stacked? How many logs are there in the last row?

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 9 - Arithmetic and Geometric Progression>Topic Exercise>Q 15

The ages of the students in a class are in AP, whose common difference is

4

months. If the youngest student is

8

yr old and the sum of the ages of all the students is

168

yr, then find the number of students in the class.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 9 - Arithmetic and Geometric Progression>Topic Exercise>Q 16

A man arranges to pay off a debt of

₹ 3600

by

40

annual instalments which are in AP. When

30

of the instalments are paid, he dies leaving one-third of the debt unpaid. Find the value of the

8^{t h}

instalment.

EASY

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 9 - Arithmetic and Geometric Progression>Topic Exercise>Q 1

Show that the following progressions is a GP. Also, find the common ratio in each case.

$4, - 2, 1, \frac{- 1}{2}, . . .$

EASY

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 9 - Arithmetic and Geometric Progression>Topic Exercise>Q 1

Show that the following progressions is a G.P. Also, find the common ratio in each case.

$a, \frac{3 a^{2}}{4}, \frac{9 a^{3}}{16}, . . .$