The following operations are performed on each term of an ar

The following operations are performed on each term of an arithmetic sequence. Determine if the resulting sequence is arithmetic, and if so, state the common difference. A constant C is added to each term. Each term is multiplied by a non-zero constant C. Each term is squared. In the first two trips baling hay around a large field, a farmer obtains 123 bales and 112 bales respectively. Because each round gets shorter, the farmer estimates that the same pattern will estimate the total number of bales made if the framer takes another six trips around the field. A_1 = 123 (=a) a_2 = 112 (a + d)

Solution

3)

a) when constant C is added to each term resulting sequence is arithematic.

common difference is same as that of original sequence

b) when constant C is multiplied to each term resulting sequence is arithematic.

common difference is C

c) when each term is squared , sequence is not arithematic