Question

Look at the pattern and fill in the blanks:

$5=4\times 1+1$, For $1^{\mathrm{st}}$ term or $n=1$

$9=4\times 2+1$, For $2^{\text{nd}}$ term or $n=2$

$13=4\times 3+1$, For $3^{\mathrm{rd}}$ term or $n=3$

$17=4\times 4+1$, For $4^{\mathrm{th}}$ term or $n=4$

$21=4\times 5+1$, For $5^{\mathrm{th}}$ term or $n=5$

$\therefore$Expression for $n^{\mathrm{th}}$ term is $4n+1$.

(i) For $n=8$, $4\times \_\_\_\_+1=\_\_\_\_$.

• A. $8$
• B. $33$

Answer 1

The expression for $n^{\mathrm{th}}$ term is $4n+1$.

Here, $n=8$

Substituting $n=8$ in $4n+1$.

We get, $4n+1$$=4\left(8\right)+1$

$=32+1$

$=33$

Therefore, For $n=8$, $4\times 8+1=33$.