JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

Let

s_{1}, s_{2}, s_{3} \ldots, s_{10}

respectively be the sum of 12 terms of 10 A.Ps whose first terms are

1,2,3, \ldots ., 10

and the common differences are

1,3,5, \ldots, 19

respectively. Then

\sum\limits_{{i=1}}^{10} s_{i}

is equal to

View answer and explanation

Correct option: C

7260

Option C (7260) is correct because it is the result of summing the sums of the 10 arithmetic progressions, using the formula for the sum of an AP and simplifying the summation.

More Questions from SEQUENCE OF SERIES

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Given the sets

A=\{1,2,3\}, B=\{3,4\}, C=\{4,5,6\}

, then find the following
(i)

{A} \cup({B} \cap {C})

(ii)

A-(B \cap C)

(iii)

(B \cup C)-A

a,b,c

are in A.P.;

a,x,b

are in G.P. and

b,y,c

are in G.P., then

{x^2},{b^2},{y^2}

are in Suppose

P(x)=1-x+x^2-x^3+\ldots+x^{2012}

is expressed as a polynomial in

y

, as

Q(y)=a_0+a_1 y+\ldots+a_{2012} y^{2012}

where

y=x-2

, then

\sum\limits_{{i=0}}^{2012} a_i

equals If

\log \left(\frac{5 c}{a}\right), \log \left(\frac{3 b}{5 c}\right)

and

\log \left(\frac{a}{3 b}\right)

are in

A P

, where

a, b

and c are in

G P

, then

a, b, c

are the lengths of sides of If the sum of three numbers in G.P. is 63 and the product of the first and the second term is

\frac{3}{4}

of the third term, then the numbers are If the lengths of sides of a right angled triangle are in A.P., then their ratio is