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

MEDIUM

10th Foundation

IMPORTANT

Earn 100

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.

100% studentsanswered this correctly

Important Questions on Arithmetic Progressions

MEDIUM

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 5 - Arithmetic Progressions>EVERYDAY MATHEMATICS>Q 14

Raghav buys a shop for

₹ 12000

. He pays half of the amount in cash and agrees to pay the balance in

12

annual instalments of

₹ 5000

each. If the rate of interest is

12 %

and he pays the interest due on the unpaid amount with the instalment. Find the total cost of the shop.

MEDIUM

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 5 - Arithmetic Progressions>EVERYDAY MATHEMATICS>Q 15

There are 25 trees at equal distance of

5 metres

in a line with a well, the distance of the well from the nearest tree being

10 metre

. A gardener waters all the trees separately starting from the well and he returns to the well after watering each tree to get water for the next. Find the total distance the gardner will cover in order to water all the trees.

EASY

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 5 - Arithmetic Progressions>ACHIEVERS SECTION (HOTS)>Q 16

Which of the following statement is CORRECT?

a .

Sum of n terms of the list of the numbers

\sqrt{2}, \sqrt{8}, \sqrt{18}, \sqrt{32}, \dots i s \frac{n (n + 1)}{\sqrt{2}}

$b .$ The common difference of A.P. given by $a_{n} = 3 n + 2$ is $3 .$

$c .$ The sum of the A.P. $(- 5), (- 8), (- 11), . . . (- 230) i s - 8930$

MEDIUM

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 5 - Arithmetic Progressions>ACHIEVERS SECTION (HOTS)>Q 17

If there are

(2 n + 1)

terms in A.P. then find the ratio of the sum of odd terms to the sum of even terms.

MEDIUM

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 5 - Arithmetic Progressions>ACHIEVERS SECTION (HOTS)>Q 18

If

\frac{a^{n + 1} + b^{n + 1}}{a^{n} + b^{n}}

is the A.M. between

a

and

b

, then find the value of

n

MEDIUM

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 5 - Arithmetic Progressions>ACHIEVERS SECTION (HOTS)>Q 19

The sum of the third and seventh terms of an A.P. is

6

and their product is

8

. Find the sum of first sixteen terms of the A.P.

MEDIUM

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 5 - Arithmetic Progressions>ACHIEVERS SECTION (HOTS)>Q 20

If the ratio of sum of n terms of two A.P. is

(7 n + 1) : (4 n + 27),

then ratio of their

m^{t h}

term is ____

EASY

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 5 - Arithmetic Progressions>ACHIEVERS SECTION (HOTS)>Q 20

Sum of n odd natural number is ____