## Sequence and Series Quiz-10

The unit Sequence and Series holds sheer significance in the JEE Advanced and other engineering exams. It has a weightage of 14% pairing with Circles. With focused practice good marks can be fetched from this section. These questions are important in achieving your success in JEE and Other Engineering Exams..

Q1.  The sum of 20 terms of a series of which every even term is 2 times the term before it, and every odd term is 3 times the term before it, the first term being unity is
•   (2/7)(610-1)
•   (3/7)(610-1)
•  (3/5)(610-1)
•   None of These
Solution
Q2.If the sum of m terms of an A.P. is the same as the sum of its n terms, then the sum of its (m+n) terms is
•  mn
•  -mn
•  1/mn
•  0
Solution
Q3. If a,b, and c are in A.P., p,q and r are in H.P. and ap,bq, and cr are in G.P., then p/r+r/p is equal to
•   a/c-c/a
•   a/c+c/a
•   b/q+q/b
•   b/q-q/b
Solution

Q4.  Coefficients of x18 in (1+x+2x2+3x3+⋯+18x18)^2 is equal to
•  995
•  1005
•  1235
•  None of These
Solution
Q5.If a,b, and c are in G.P., then the equations ax2+2bx+c=0 and dx2+2ex+f=0 have a common root if d/a,e/b,f/c are in
•  A.P.
•  G.P.
•  H.P.
•  None of These
Solution
Q6. If a,b, and c are in G.P., then a+b,2b, and b+c are in
•  A.P.
•  G.P.
•  H.P.
•  None of These
Solution
Q7.If in a progression a1,a2,…, etc., (ar-ar+1) bears a constant ratio with ar-×ar+1, then the terms of the progression are in
•  A.P.
•  G.P.
•  H.P.
•  None of These
Solution
Q8.
•  1/3
•  3/2
•  1/2
•  None of these
Solution
Q9. Consider an infinite geometric series with first term a and common ratio r. If its sum is 4 and the second term is 3/4, then
•  a=4/7,r=3/7
•   a=2,r=3/8
•   a=3/2,r=1/2
•   a=3,r=1/4
Solution
Q10.
•   (a(n+1))/2
•   (a(n-1))/2
•   an/2
• None of these
Solution

#### Written by: AUTHORNAME

AUTHORDESCRIPTION

## Want to know more

Please fill in the details below:

## Latest NEET Articles\$type=three\$c=3\$author=hide\$comment=hide\$rm=hide\$date=hide\$snippet=hide

Name

ltr
item
BEST NEET COACHING CENTER | BEST IIT JEE COACHING INSTITUTE | BEST NEET & IIT JEE COACHING: Sequence and Series-Quiz-10
Sequence and Series-Quiz-10