Answer:
C
Step-by-step explanation:
The sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 1 and d = 3, thus
= 1 + 3(n - 1) = 1 + 3n - 3 = 3n - 2 → C
Answer:

Step-by-step explanation:
1) Convert
to improper fraction. Use this rule:
.

2) Simplify 4 * 3 to 12.

3) Simplify 12 + 1 to 13.

4) Convert
to improper fraction. Use this rule:
.

5) Simplify 1 * 3 to 3.

6) Simplify 3 + 2 to 5.

7) Join the denominators.

8) Simplify.

9) Convert to mixed fraction.

(Decimal Form: 2.666667)
Thank you,
Eddie
Answer:
x = 5
Step-by-step explanation:
You want to find x such that ...
x^2 +(x +1)^2 = 61
2x^2 +2x -60 = 0 . . . . . simplify, subtract 61
x^2 +x -30 = 0 . . . . . . . divide by 2
(x +6)(x -5) = 0 . . . . . . . . factor; solutions will make the factors be zero.
The relevant solution is x = 5.