Find a1 when d= - 1 and a7= -2

Mathematics

1 answer:

Pie1 year ago

5 0

Answer:

a₁ = 4

Step-by-step explanation:

<u>Given</u>

d = - 1
a₇ = - 2

<u>Find</u> a₁

Use the nth term equation of AP

aₙ = a₁ + (n - 1)d

Apply to the given case and solve for a₁

- 2 = a₁ + 6(- 1)
- 2 = a₁ - 6
a₁ = 6 - 2
a₁ = 4

You might be interested in

sweet t has 2 orange picks for every green pick. if 6 of the picks are green, how many picks are orange

barxatty [35]

2 X 6 = 12

So, it would be 12 orange picks.

6 0

3 years ago

Read 2 more answers

Two dance teams, the Roses and the Tulips, are perfectly matched so that their chances of winning are both set at 50%. What is t

shtirl [24]

Answer:

Step-by-step explanation:

Step 1

The fist step is to define the probabilities.

The events are independent from each other. Each team wins with probability $\frac{1}{2}$ and looses with probability $\frac{1}{2}.$ Let $P(W_R)$ be probability that Roses win and $P(L_R)$ be the probability that Roses loose.

Step 2

The second step is to calculate the probabilities by multiplying the probabilities with the first 3 terms in the product being the probability of a win and the last term being the probability of a loss.

The calculation is shown below,

$P(W_R)\times P(W_R)\times P(W_R)\times P(L_R)=\frac{1}{2} \times \frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} =\frac{1}{16}$