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3 years ago

What are the first five terms

Mathematics

2 answers:

tangare [24]3 years ago

5 0

Answer:

Its the first choice.

Step-by-step explanation:

an = the nth term. so:

a1 = 6(1) + 1 = 7

a2 = 6(2) + 1 = 13

a3 = 6(3) + 1 = 19

The common difference is 6.

sammy [17]3 years ago

3 0

Answer:

7, 13, 19, 25, 31

Step-by-step explanation:

aₙ = 6n + 1

n = 1: a₁ = 6 × 1 + 1 = 6 + 1 = 7

n = 2: a₂ = 6 × 2 + 1 = 12 + 1 = 13

n = 3: a₃ = 6 × 3 + 1 = 18 + 1 = 19

n = 4: a₄ = 6 × 4 + 1 = 24 + 1 = 25

n = 5: a₅ = 6 × 5 + 1 = 30 + 1 = 31

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65% convert to a fraction

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Answer:

$\frac{13}{20}$

Step-by-step explanation:

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Step-by-step explanation:

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2 years ago

Each of three coins has two sides, heads and tails. Represent the heads or tails status of each coin by a logical variable (A fo

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Answer:

(a) F(A, B, C) = AB'C' + A'BC' + A'B'C

(b) F(A, B, C) = (A' + B' + C')(A' + B + C)(A + B' + C)(A + B + C')(A + B + C)

Step-by-step explanation:

(a) If F(A, B, C) = 1 iff exactly one of the coins is heads, then either

A is heads and the others are tails (AB'C')

B is heads and the others are tails (A'BC')

C is heads and the others are tails (A'B'C)

Hence, as a minterm expansion,

F(A, B, C) = AB'C' + A'BC' + A'B'C

(b) To get the corresponding maxterm expansion, we convert to binary.

$F(A, B, C) = \sum (100, 010, 001) = \sum(4,2,1)$

The maxterm is the product of the complements.

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Expanding,

F(A, B, C) = (A' + B' + C')(A' + B + C)(A + B' + C)(A + B + C')(A + B + C)

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3 years ago

Which of these descriptions matches the graph?

qwelly [4]

The correct answer is A. Jimmy is running late, so he starts to run to school but needs to take breaks.

Explanation:

The graph shows the distance in axis y and the time in axis x. Additionally, the graph presents different sections from A to E. In this, the sections A, C, and E show an increase in the distance from home, this implies there was movement. Moreover, the speed (distance traveled in time) is higher in sections C and E than in A because the distance increases in a shorter time. Also, in sections D and B there is no movement as time continues but the distance is the same. In this context, the description that best matches the graph is "Jimmy is running late, so he starts to run to school but needs to take breaks" because this is the only option that includes the breaks or lack of movement in sections B and D. Also, the changes in speed are likely to occur in this scenario.

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