Modern's abc+ of Mathematics for Class 10>Chapter 5 - Arithmetic Progressions>COMPETITION FILE>Q 16

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The sum of first $16$ terms of the A.P.: $10$ , $6$ , $2$ , ... is:

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Important Questions on Arithmetic Progressions

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IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 5 - Arithmetic Progressions>COMPETITION FILE>Q 17

In an A.P., if

a = 1,

a_{n} = 20

and

S_{n} = 399,

then

n

is

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Modern's abc+ of Mathematics for Class 10>Chapter 5 - Arithmetic Progressions>COMPETITION FILE>Q 18

The sum of first five multiples of

3

is

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Modern's abc+ of Mathematics for Class 10>Chapter 5 - Arithmetic Progressions>NATIONAL TALENT SEARCH EXAMINATION (NTSE)>Q 1

Ratio of the sum of

n

terms of A.P's are

(3 n + 8) : (7 n + 15)

, then the ratio of their

5^{th}

terms is

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Modern's abc+ of Mathematics for Class 10>Chapter 5 - Arithmetic Progressions>NATIONAL TALENT SEARCH EXAMINATION (NTSE)>Q 2

If

a_{1}

,

a_{2}

,

a_{3}

,...,

a_{n}

be in A.P., then the value of

\frac{1}{a_{1} a_{2}} + \frac{1}{a_{2} a_{3}} + \dots + \frac{1}{a_{n - 1} a_{n}}

is

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Modern's abc+ of Mathematics for Class 10>Chapter 5 - Arithmetic Progressions>NATIONAL TALENT SEARCH EXAMINATION (NTSE)>Q 3

If

m^{th}

term of an A.P. is

\frac{1}{n}

and

n^{th}

term is

\frac{1}{m}

, then the sum of

m n

term is

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Modern's abc+ of Mathematics for Class 10>Chapter 5 - Arithmetic Progressions>NATIONAL TALENT SEARCH EXAMINATION (NTSE)>Q 4

If the sum of

n

term of an A.P is

3 n^{2} - 2 n,

then its

n^{th}

term is

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Modern's abc+ of Mathematics for Class 10>Chapter 5 - Arithmetic Progressions>NATIONAL TALENT SEARCH EXAMINATION (NTSE)>Q 5

If the first, second and last term of an A.P. are

a

,

b

and

2 a

respectively, then its sum is:

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Modern's abc+ of Mathematics for Class 10>Chapter 5 - Arithmetic Progressions>NATIONAL TALENT SEARCH EXAMINATION (NTSE)>Q 6

If the ratio of the sum of

n

terms of two distinct arithmetic progressions is given by

\frac{S_{n}}{{S_{n}}^{'}} = \frac{3 n + 1}{2 n + 1}

, then find the ratio of their

6^{th}

terms.