Form a sequence that has two arithmetic means between -1 and 59.
2 answers:
Answer:
b
Step-by-step explanation:
The sequence will be arithmetic with 4 terms and a common difference d, which requires to be found.
The n th term of an arithmetic sequence is
= a + (n - 1)d
where a is the first term
here a = - 1, n = 4 and = 59, hence
- 1 + 3d = 59 ( add 1 to both sides )
3d = 60 ( divide both sides by 3)
d = 20, thus the four terms are
-1
- 1 + 20 = 19
19 + 20 = 39
39 + 20 = 59, that is
- 1, 19, 39, 59 → b
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Answer:
36 + +
Step-by-step explanation:
(6 + )²
= (6 + )(6 +
)
Each term in the second factor is multiplied by each term in the first factor, that is
6(6 + ) +
(6 +
) ← distribute parenthesis
= 36 + +
+
← collect like terms
= 36 + +