Answer:
- an = 3(-2)^(n-1)
- 3, -6, 12, -24, 48
Step-by-step explanation:
These variable names, a1, r, are commonly used in relationship to geometric sequences. We assume you want the terms of a geometric sequence with these characteristics.
a1 is the first term. r is the ratio between terms, so is the factor to find the next term from the previous one.
a1 = 3 (given)
a2 = a1×r = 3×(-2) = -6
a3 = a2×r = (-6)(-2) = 12
a4 = a3×r = (12)(-2) = -24
a5 = a4×r = (-24)(-2) = 48
The first 5 terms are 3, -6, 12, -24, 48.
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The explicit formula for the terms of a geometric sequence is ...
an = a1×r^(n -1)
Using the given values of a1 and r, the explicit formula for this sequence is ...
an = 3(-2)^(n -1)
Answer: k = -9
Step-by-step explanation:
-126 = 14k
------- -------
14 14
-126 divided by 14 = -9
k = -9
13, each term is the sum of two preceding ones.
Answer:
k = 3
Step-by-step explanation:
-12 = 3 - 2k - 3k
-12 = 3 - 5k
5k = 15
k = 3
Answer:
R = 2 % per annum.
Step-by-step explanation:
SI = (P*T*R) /100
$1000 = ($10000 * 5 yrs *Rate) /100
