JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

A polygon has 25 sides, the lengths of which starting from the smallest side are in AP. If the perimeter of the polygon is

2100 \mathrm{~cm}

and the length of the largest side 20 times that of the smallest, then the length of the smallest side and the common difference of an AP are

View answer and explanation

Correct option: A

8 \mathrm{~cm}, 6 \frac{1}{3} \mathrm{~cm}

Option A (8 cm, 6 1/3 cm) is correct because these are the length of the smallest side and the common difference of the AP, calculated using the given perimeter and largest side conditions.

More Questions from SEQUENCE OF SERIES

Practice All Chapter MCQs →

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