MTH-101 Key Questions

Front

In the series 1 + 3/7 + 9/49 + 27/343 +…. What is the sum to infinity?

Back

5/7

Front

If the constant term in the (x - q/x^2)^{10} is 405, what is the value of q?

Back

3

Front

Insert three arithmetic means between 1 and 13.

Back

4, 7 and 11

Front

Find the sum of an AP: ⅔, ¾ and 7/12,… up to 19 terms.

Back

22

Front

Evaluate: 1/α + 1/β.

Back

3/5

Front

What is the formula for the sum of an infinite geometric series?

Back

S = a / (1 - r), where a is the first term and r is the common ratio.

Front

Define an arithmetic progression (AP).

Back

A sequence of numbers in which the difference between consecutive terms is constant.

Front

What is the formula for the nth term of an AP?

Back

a_n = a + (n-1)d, where a is the first term and d is the common difference.

Front

How do you find the sum of the first n terms of an AP?

Back

S_n = n/2 * (2a + (n-1)d), where a is the first term and d is the common difference.

Front

What is a constant term in a polynomial expansion?

Back

The term that does not contain any variables.