DAE MATH-113

Applied Mathematics-I

Chapter 2 : Sequence & Series

DAE Common Technologies | First Year

Multiple Choice Questions

Chapter:02 (Sequence & Series)

Question 1:

The nth term of an A.P. whose 1st term is 'a' and common difference is 'd' is:

2a + (n + 1)d a + (n + 1)d a + (n – 1)d a + (d – 1)n

Question 2:

The 7th term of an A.P. 1, 4, 7, …… is:

17 19 21 23

Question 3:

If a, b, c are in A.P. then:

\(b - a = c - b\) \({\frac{b}{a}}={\frac{c}{a}}\) \(a + b = b + c\) \({\frac{a}{c}}={\frac{b}{c}}\)

Question 5:

The sum of n terms of an A.P. with 'a' as 1st term and 'd' as common difference is:

\({\frac{n}{2}}{[a+(n-1)d]}\) \({\frac{n}{2}}{[2a+(n-1)d]}\) \({\frac{n}{2}}{[a+(n+1)d]}\) \({\frac{n}{2}}{[2a-(n-1)d]}\)

Question 6:

Arithmetic mean between \({x-\sqrt{3}}\) and \({x+\sqrt{3}}\) is:

x 2x 3 -3

Question 10:

The nth term of a G.P \(a, ar, a{r^2}, ……\) is:

\(a{r^2}\) \(a{r^{n+1}}\) \({\frac{1}{a}}{r^{n-1}}\) \(a{r^{n-1}}\)

Question 13:

The G.M. between a and b is:

\({\pm}ab\) \(ab\) \({\pm}{\sqrt{ab}}\) \({\sqrt{ab}}\)

Question 15:

Geometric mean between 3 and 27 is:

\(-9\) \(12\) \(15\) \({\pm}9\)

Question 19:

The sum of infinite terms of a G.P. a, a\(r_1\), a\({r_1}^2\),..... if |r| < 1 is:

\(\frac{a}{1-r}\) \(\frac{a(1-{r^n})}{1-r}\) \(a{r^{n-1}}\) None of these

Question 20:

The sum of infinite geometric series \(1+{\frac{1}{3}}+{\frac{1}{9}}+ .....\) is:

\(\frac{2}{3}\) -\(\frac{2}{3}\) \(\frac{3}{2}\) -\(\frac{3}{2}\)

NOTE
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INSTRUCTOR
MUHAMMAD BIN JAMEEL
BSC ENGG. CIVIL

PBTE | DAE | MATH-113 APPLIED MATHEMATICS-I | MCQs | Chapter : 02 Sequence & Series