Find the third, fifth, and eleventh terms of the sequence described by the rule.
A(n)=13 +(n - 1)(5)
A(3)=
just do the arithmetic
A(3) = 13 + 2(5) = 23
A(5) = 13 + 4(5) = ....
A(7) = .....
A(5) = 13 + 4(5) = 27?
A(7) = 13 + 8(7) = 35?
huh???
A(5) = 13 + 4(5) = 13 + 20 = 33 , how did you get 27??
A(7) = 13 + 8(7) = 13 +56 = 69 , how did you possible get 35?
Yes
To find the third term of the sequence described by the rule, we can use the formula A(n) = 13 + (n - 1)(5).
To find the third term (A(3)), we substitute n = 3 into the formula:
A(3) = 13 + (3 - 1)(5)
= 13 + (2)(5)
= 13 + 10
= 23
Therefore, the third term of the sequence is 23.
Now, let's find the fifth term.
Using the same formula, we substitute n = 5:
A(5) = 13 + (5 - 1)(5)
= 13 + (4)(5)
= 13 + 20
= 33
So, the fifth term of the sequence is 33.
Lastly, let's find the eleventh term.
Again, using the formula with n = 11:
A(11) = 13 + (11 - 1)(5)
= 13 + (10)(5)
= 13 + 50
= 63
Therefore, the eleventh term of the sequence is 63.