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JaleahOwens13
05.10.2019 •
Mathematics
Can someone me. this is an equation for either an arithmetic or geometric sequence.
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Ответ:
a15= -62
There are (15 - 6) terms in between, therefore 9 terms in between.
-8 to -62 ... there is a difference of 54
54 ÷ 9 = 6
Therefore it gets -6 each term.
a6 = -8, a7= -14, a8 = -20
Ответ:
Make an equation system based on what are given by the question.
an = a₁ + d(n - 1)
a₆ = a₁ + d(6 - 1) = -8
a₆ = a₁ + 5d = -8 (first equation)
a₁₅ = a₁ + d(15 - 1) = -62
a₁₅ = a₁ + 14d = -62 (second equation)
Solve the equation to find the value of a₁ and d
Using elimination method, find the value of d from first equation and second equation
a₁ + 14d = -62
a₁ + 5d = -8
- (substract)
9d = -54
d = -54/9
d = -6
Using subtitution method, find the value of a₁. Subtitute d with -6 from the first equation.
a₁ + 5d = -8
a₁ + 5(-6) = -8
a₁ - 30 = -8
a₁ = -8 + 30
a₁ = 22
Determine the rule of the sequence
General rule for arithmetic sequence is
an = a + d(n - 1)
Now input the value of a₁ and d to the general rule, then simpllify.
an = a + d(n - 1)
an = 22 + -6(n - 1)
an = 22 -6n + 6
an = 28 - 6n
The rule of the sequence is 28 - 6n
Ответ:
j/5.68=0.71
j=0.71×5.68=4.0328
4.0328