Find the indicated terms of the sequence, whose nth term is a _ n… - Vidyadip

Question

Find the indicated terms of the sequence, whose nth term is $a _ { n } = \frac { n ^ { 2 } } { 2 ^ { n } }$; a₇

✓

Answer

Given: $a _ { n } = \frac { n ^ { 2 } } { 2 ^ { n } }$

$\therefore a _ { 7 } = \frac { 7 ^ { 2 } } { 2 ^ { 7 } } = \frac { 49 } { 128 }$

Therefore, 7^th term is $\frac { 49 } { 128 }.$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Sequences and Series→Sequences and Series — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

Let R be a relation on N × N defined by:
$(\text{a, b})\text{ R }(\text{c, d})\Leftrightarrow\text{a}+\text{d}=\text{b}+\text{c}$ for all $(\text{a, b}),(\text{c, d})\in\text{N}\times\text{N}$
Show that:
$(\text{a},\text{b})\text{ R }(\text{a, b})\text{ for all }(\text{a, b})\in\text{N}\times\text{N}$

Find the equation of a circle with centre (2, 2) and passes through the point (4, 5).

A mint prepares metallic calendars specifying months, dates and days in the form of monthly sheets (one plate for each month). How many types of calendars should it prepare to serve for all the possibilities in future years?

Find the probability that in a random arrangement of the letters of the word 'UNIVERSITY', the two I's do not come together.

Show the following quadratic equation by factorization method:
2x² + x + 1 = 0

The intercept cuts-off by a line from y-axis is twice than that from x-axis and the line passes through the point (1, 2). Find the equation of the line.

In a $\triangle\text{ABC},$ Prove that:
$\cos(\text{A+B})= \cos (\pi-\text{C})=0$

Determine the number of 5 card combinations out of a deck of 52 cards if there is exactly one ace in each combination.

If $A=\{a, b\}, B=\{c, d\}$ and $C=\{d, c\}$, then find $A \times(B \cup C)$.

If R₂ = {(x, y) | x and y are integers and x² + y²= 64} is a relation. Then find R₂.