Answered

What is the general term for the sequence 1,6,11,16,...?


n + 5

5n - 4

5n + 1

Verified Answer :

Jiggyfly

5n-4
Just plug numbers into it. Make this a table.
n 0 1 2 3 
y 1 6 11 16

boffeemadrid

Answer:

Step-by-step explanation:

The given sequence is:

1,6,11,16,...

Since, the sequence is Arithmetic progression, therefore

The general term for the sequence is:

\(A_{n}=a+(n-1)d\)

where a is the first term of the sequence and d is common difference.

Substituting the given values, we get

\(A_{n}=1+(n-1)5\)

\(A_{n}=1+5n-5\)

\(A_{n}=5n-4\)

which is the required general term.

Thus, option B is correct.

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