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Verified Answer :

Answer:

Both sequence are same, so the given statement is true.

Step-by-step explanation:

The first sequence is defined as

\(a_n=5n+3\)                             ..... (1)

The second sequence is defined as

\(a_1=8\)

\(a_n=a_{n-1}+5\)

It can be written as

\(a_n-a_{n-1}=5\)

The common difference of the sequence is

\(d=a_n-a_{n-1}=5\)

The first term of the sequence is 8 and common difference is 5.

The second sequence can defined as

\(a_n=a+(n-1)d\)

\(a_n=8+(n-1)5\)

\(a_n=8+5n-5\)

\(a_n=5n+3\)                              .....(2)

From (1) and (2), we can say that both sequence are same.

Therefore the given statement is true.

rooster5795

Answer:

True

Step-by-step explanation:

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