All categories

2 years ago

Identify the first five terms of the sequence in which a1 = 5 and an = 2an−1−3 for n ≥ 2.

Mathematics

1 answer:

ziro4ka [17]2 years ago

3 0

Answer:

5, 7, 11, 19, 35

Step-by-step explanation:

Using the recursive formula and a₁ = 5 , then

a₂ = 2a₁ - 3 = (2 × 5) - 3 = 10 - 3 = 7

a₃ = 2a₂ - 3 = (2 × 7) - 3 = 14 - 3 = 11

a₄ = 2a₃ - 3 = (2 × 11) - 3 = 22 - 3 = 19

a₅ = 2a₄ - 3 = (2 × 19) - 3 = 38 - 3 = 35

Thus the first 5 terms are

5, 7, 11, 19, 35

You might be interested in

Determine whether the parabola y = −x2 + 15x + 8 opens up, down, left, or right.

spayn [35]

Dy/dx=-2x+15

d2y/dx2=-2

Since the acceleration is a constant negative it has an absolute maximum value for y(x), thus it opens downward, as x decreases without bound as x approaches ±∞

7 0

2 years ago

If you spin a spinner with 3 equal parts, how many possible outcomes are there? A. 1 B. 2 C. 3 D. 4

kakasveta [241]

The answer is c. 3 possible outcomes

6 0

2 years ago

Read 2 more answers

Turn 1 1/5 to improper fraction

Alex17521 [72]

Answer:

Explanation:

Step 1

Multiply the denominator by the whole number

5 × 1 = 5

Step 2

Add the answer from Step 1 to the numerator

5 + 1 = 6

Step 3

Write answer from Step 2 over the denominator

<h2><u>6/5</u></h2><h2><u></u></h2><h2><u>I hope this answer helps you out! Brainliest would be appreciated.</u></h2>

4 0

2 years ago

Simplify (7 i) − (6 − 2i). a. −2 b. 1 − i c. 1 3i d. 4

Ksenya-84 [330]

(7 + i) - (6 - 2i) = 7 + i - 6 + 2i = 1 + 3i

5 0

2 years ago

How to do the problem

marta [7]

There are 153 people who each ate 1/4 pounds. Therefore, the amount of watermelon eaten is 153/4 pounds.
The amount of watermelon served is
$8 \frac{1}{4} + 9 \frac{1}{4} + 8 \frac{7}{8} + 9 \frac{5}{8} + 10 \frac{3}{4}$
$= \frac{8 \times 4 + 1}{4} + \frac{9 \times 4 + 1}{4} \\ + \frac{8 \times 8 + 7}{8} + \frac{9 \times 8 + 5}{8} \\ + \frac{10 \times 4 + 3}{4}$
$= \frac{33}{4} + \frac{37}{4} + \frac{71}{8} + \frac{77}{8} + \frac{43}{4} \\ = \frac{33 \times 2}{4 \times 2} + \frac{37 \times 2}{4 \times 2} + \frac{71}{8} \\ + \frac{77}{8} + \frac{43 \times 2}{4 \times 2}$
$= \frac{66 + 74 + 71 + 77 + 86}{8}$
$= \frac{374}{8} = \frac{186}{4}$
There is 186/4 total watermelon. Minus the 153/4 that was eaten,
$\frac{186 - 153}{4} = \frac{33}{4} = 8 \frac{1}{4}$

The leftover watermelon is 8 & 1/4 pounds.

6 0

2 years ago