The Tₙ of the sequence 1, 3, 9, … is:
The acute angle θ for which sin θ, 2 cos θ, and 2 sin θ are the first three terms of an AP is:
Which term of the A.P. 121, 117, 113, … is the first negative term?
The sum of the first n terms of a sequence is given by Sₙ = n² + 2n. Then the expression for Tₙ is:
How many terms of the series −8, −6, −4, … make the sum 907?
The nth term of the sequence is given by Tₙ = 5n − 2. If the last term is 148, how many terms are there?
In an A.P., the 5th term is 22 and the 10th term is 47. Then T₁₆ =
The nth term of an A.P. is given by Tₙ = 7n − 5. The sum of the first 16 terms is:
The sum of all integers between 50 and 150 that are multiples of 4 is:
The first three terms of a G.P. are x, x + 2, x + 3. Then x =
5¹ᐟ² × 5¹ᐟ⁴ × 5¹ᐟ⁸ × … = ?
The second term of a G.P. is 2 while its sum to infinity is 8. Find the sum of the terms of the sequence.
Three G.M.s between 4 and 324 are:
The three numbers in G.P., whose sum is 19 and product is 216, are: (a) (b) (c) 5, 10, 4 (d) (e)
If 4, x, 4, and 5 − 2x are the first three terms of an infinite G.P., whose sum to infinity is finite, then the value of the finite sum is:
Find the 20th term of an H.P. whose first two terms are 2/39 and 2/37.
Harmonic mean between 1/3 and 2/5 is:
The next term of the sequence, 1, 8, 27, 64, ..... is
If pth term of an A.P. is q and the oth term is p, then the rth term is
The nth term of a sequence is Tₙ = n/2 (2n + 3). The sequence is:
