Senior Secondary School Mathematics FOR CLASS 11>Chapter 11 - Arithmetic Progression>EXERCISE 11A>Q 28

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Find the number of terms common to the two arithmetic progressions $5, 9, 13, 17, \dots, 217$ and $3, 9, 15, 21, \dots, 321$ .

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Important Questions on Arithmetic Progression

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 11 - Arithmetic Progression>EXERCISE 11A>Q 29

We know that the sum of the interior angles of a triangle is

180 °

. Show that the sum of the interior angles of polygons with

3, 4, 5, 6, \dots

sides form an arithmetic progression. Find the sum of the interior angles for a

21

-sided polygon. [Enter the value excluding degree symbol]

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 11 - Arithmetic Progression>EXERCISE 11A>Q 30

A side of an equilateral triangle is

24 cm

long. A second equilateral triangle is inscribed in it by joining the midpoints of the sides of the first triangle. The process is continued. If the perimeter of the sixth inscribed equilateral triangle is

k cm

, then find the value of

k

in decimal.

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 11 - Arithmetic Progression>EXERCISE 11A>Q 31

A man starts repaying a loan as the first instalment of $₹ 10000$ . If he increases the instalments by $₹ 500$ every month, what amount will he pay in $30^{th}$ instalment?

[Enter value excluding units]

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 11 - Arithmetic Progression>EXERCISE 11B>Q 1

Find the sum of

23

terms of the

AP 17, 12, 7, 2, - 3, \dots

.

EASY

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IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 11 - Arithmetic Progression>EXERCISE 11B>Q 2

Find the sum of

16

terms of the A.P:

6, 5 \frac{1}{3}, 4 \frac{2}{3}, 4, . .

EASY

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 11 - Arithmetic Progression>EXERCISE 11B>Q 3

If the sum of

25

terms of the

AP \sqrt{2}, 2 \sqrt{2}, 3 \sqrt{2}, 4 \sqrt{2}, \dots

. is

k \sqrt{2}

, then find

k

.

EASY

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IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 11 - Arithmetic Progression>EXERCISE 11B>Q 4

Find the sum of

100

terms of the

A P 0.6, 0.61, 0.62, 0.63, \dots .

.

EASY

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IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 11 - Arithmetic Progression>EXERCISE 11B>Q 5

If the sum of

20

terms of the

A P (x + y), (x - y), (x - 3 y), \dots

. is

20 (x - k y)

, then find

k

.