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musickatia [10]
3 years ago
11

Write the following Arithmetic Sequence using a Recursive Formula: an = -7 + 3(n – 1)

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
7 0

9514 1404 393

Answer:

  (b)  a[1] = -7, a[n] = a[n-1] + 3

Step-by-step explanation:

Comparing the given formula to the general form for the n-th term of an arithmetic sequence ...

  an = a1 +d(n -1)

we see that the first term (a1) is -7, and the common difference (d) is +3.

The recursive version of the sequence definition is ...

  a[1] = a1

  a[n] = a[n-1] +d

So, the appropriate choice is ...

  a[1] = -7, a[n] = a[n-1] +3

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7 0
3 years ago
If the measure of angle 5 is (11 x minus 14) degrees and x = 6, which expression could represent the measure of angle 2? 3 lines
ella [17]

Answer:

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m \angle 5 =(11x-14)^\circ\\x=6\\m \angle 5 =(11(6)-14)^\circ=(66-14)^\circ=52^\circ\\m \angle 5 =m \angle 2$ (Vertically Opposite Angles)

Out of the options, the one which gives a result of 52 degrees could represent the measure of angle 2.

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We can see that only Option A gives a result of 52 degrees. Therefore, it can represent the measure of angle 2.

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