Chapter 12.2, Problem 4E

To determine

Find whether the statement is true or false.

Answer to Problem 4E

The statement is true.

Explanation of Solution

Given:

It is given in the question that the statement is if we know the first and second terms of an arithmetic sequence, then we can find any other term.

Since, nth term of arithmetic sequence is given : $a_n=a_1+(n-1)d$

For example : Let the arithmetic sequence be - $1,3,5,7,9,11,13,\mathrm{15............}$

Here in the above example sequence fifth term of the sequence is $9$ ,now calculating the fifth term by formula,

  $5thtermis:a_5=1+2(5-1)=1+8=9$

Hence , the given statement is true that we can find any term when first and second term of arithmetic sequence is given.