Chapter 12, Problem 10STP

To determine

To calculate :with the help of given table, n^th term of the sequence is to be determined.

Answer to Problem 10STP

  $\text{(J)}y=2(2x+1)$

Explanation of Solution

Given information :

We know that, A table is given in which number of term and value of that term is given.

Calculation:

Arrange the table in the following pattern.

  $\begin{array}{l}{T}_1=6=2\times 3=2(2\times 1+1)\\ T_2=10=2\times 5=2(2\times 2+1)\\ T_3=14=2\times 7=2(2\times 3+1)\\ T_4=18=2\times 9=2(2\times 4+1)\end{array}$

Continuing in the same manner, $T_n=2(2x+1)$