The sum to infinity of the series is
a) 3
b) 4
c) 6
d) 2
Your Answer
Let f(x) be a polynomial function of second degree. If f (1) = f (−1) and a, b, c are in arithmetic progression then and are in
a) Arithmetic Progression
b) Geometric Progression
c) Harmonic Progression
d) Arithmetic – Geometric Progression
is equal to
a) 1
b) –1
c) 0
d) None of these
If are the sums of terms respectively of an arithmetic progression show that .
In an arithmetic progression of which a is the first term, if the sum of the first p terms = 0, show that the sum of the next q terms is equal to
Find an arithmetic progression whose first term is unity such that the second, tenth and thirty fourth sums form a geometric progression.
The sum of four numbers in arithmetic progression is 48 and the product of their extremes is to the product of their means as 27 to 35. Find the numbers.
Show that
The arithmetic mean between m and n and the geometric mean between a and b are each equal to ; find m and n in terms of a and b.
If x, y, z are in harmonic progression show that
Find the value of the infinite series
Find the generating function, the sum to n terms and the nth term of the recurring series
Find the sum of the first n terms of the series whose rth term is
Find the sum to infinity of the series whose nth term is
Find the sum of the series 6, 24, 60, 120, 210, 336, . . . . . . to n terms.
Find the sum of the series to infinity
Sum to n terms
Sum to n terms, the series 1, 6, 15, 28, . . . . .
Sum the series
Sum the series 6 + 9 + 14 + 23 + 40 + . . . . . to n terms
Sum the series to n terms
Sum of the series to infinity
Sum of the series