Common Difference
Trending Questions
An AP starts with a positive fraction and every alternate term is an integer. If the sum of the first terms is, then the fourth term is what?
The first term of an A.P. is 2 and the last term is 50. The sum of all these terms is 442. Find the common difference.
if f(x)=cos [π]x+cos[πx] where [y] is the greatest integer function of y then f(π/2)=? Explain with steps please
Write the common difference of an A.P. whose nth term is xn + y.
If A and B are the sunsets of the universal set U, then show that
1. A is a subset of A union B
- 3
- 4
- 6
- 8
Let the sequence a1, a2, a3.....an form an A.P. Then
a21−a22+a23−a24+.....+a22n−1−a22n is equal to
None of these
n2n−1[a21−a22n]
nn−1[a20−a22n]
nn+1[a21+a22n]
If an, a2, a3, …… are in A.P., with common difference d, then the sum of the series sin d[sec a1 sec a2+sec a2 sec a3+……+sec an−1 sec an], is
sec a1−sec an
cosec a1−cosec an
cot a1−cot an
tan an−tan a1
- !8th
- 27th
- 15th
- 28th
I + f - f' is an even integer, where I is an integer, f and f' are proper positive
fractions (0 < f, f' < 1). Then the integer I is an odd number.
False
True
- a2−a1
- a4−a3
- an−an−1
- a7−a6
- 33
- None of these
- 40
- 7
- −3
- −2
- 3
- 2
[MNR 1977]
- A + B
- 2A
- 2B
- A - B
Let [∙] represents the greatest integer function and f(x)=[tan2 x], then
- f(0)=1
- f(x) is continuos at x=0
- f(x) is non-differentiable at x=0