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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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STATEMENT-1: If

{a_1},{a_2},{a_3},\_\_\_\_\_{a_{16}}

is an A.P such that

{a_1} + {a_4} + {a_7} + - - {a_{16}} = 147

, then

{a_1} + {a_6} + {a_{11}} + {a_{16}} = 98

STATEMENT-2: In an A.P the sum of the terms equidistant from the beginning and the end is always same and it is equal to the sum of first and last term

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Correct option: A

Statement 1 is true statement 2 is true, statement 2 is a correct explanation of statement 1

Statement 1 is true, statement 2 is true, and statement 2 is a correct explanation of statement 1 because the sum of terms equidistant from the beginning and end is constant in an A.P.

More Questions from SEQUENCE OF SERIES

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

, then find the following
(i)

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

A-(B \cap C)

(B \cup C)-A

a,b,c

a,x,b

are in G.P. and

b,y,c

are in G.P., then

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

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

is expressed as a polynomial in

y

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

y=x-2

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

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

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

A P

a, b

G P

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