IMO Olympiad Work Book 10>Chapter 5 - Arithmetic Progressions>MATHEMATICAL REASONING>Q 5

MEDIUM

10th Foundation

IMPORTANT

Earn 100

The sum of all the terms of the arithmetic progression having ten terms except for the first term is $99$ , and except for the sixth term is $89$ . Find the $8^{t h}$ term of the progression if the sum of the first and the fifth term is $10 .$

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Important Questions on Arithmetic Progressions

MEDIUM

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 5 - Arithmetic Progressions>MATHEMATICAL REASONING>Q 6

In an A.P., if the

p^{t h}

term is

' q'

and the

q t h

term is

' p'

, then its

n^{t h}

term is

EASY

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 5 - Arithmetic Progressions>MATHEMATICAL REASONING>Q 7

If

x \neq y

and the sequences

x, a_{1}, a_{2}, y

and

x, b_{1}, b_{2}, y

each are in A.P., then

(\frac{a_{2} - a_{1}}{b_{2} - b_{1}})

MEDIUM

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 5 - Arithmetic Progressions>MATHEMATICAL REASONING>Q 8

The ratio of the sum of

m

and

n

terms of an A.P. is

m^{2} : n^{2}

, then find the ratio of

m^{t h}

and

n^{t h}

term

EASY

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 5 - Arithmetic Progressions>MATHEMATICAL REASONING>Q 9

Four numbers are inserted between the numbers

4

and

39

such that an A.P. results. Find the biggest of these four numbers.

MEDIUM

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 5 - Arithmetic Progressions>MATHEMATICAL REASONING>Q 10

If the

m^{t h}

term of an A.P.is

\frac{1}{n}

and

n^{t h}

term is

\frac{1}{m},

then the sum of the first

m n

terms is

MEDIUM

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 5 - Arithmetic Progressions>EVERYDAY MATHEMATICS>Q 11

The production of TV in factory increases uniformly by a fixed number every year. It produced

8000

sets in

6^{t h}

year and

11300

in

9^{t h}

year. Find the production in the

6

years.

MEDIUM

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 5 - Arithmetic Progressions>EVERYDAY MATHEMATICS>Q 12

Deepak repays his total loan of

₹ 1,18,000

by paying every month starting with the first instalment of

₹ 1000

. If he increases the instalment by

₹ 100

every month. What amount will be paid as the last instalment of loan?

MEDIUM

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 5 - Arithmetic Progressions>EVERYDAY MATHEMATICS>Q 13

A manufacturer of laptop produced 6000 units in

3^{r d}

year and

7000

units in the

7^{t h}

year. Assuming that production increases uniformly by a fixed number every year, find production in

5^{t h}

year.