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maksim [4K]
3 years ago
8

HELPPPPPPP PLEASEEEE

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
5 0
The answer is 8.778 cm

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Arithmetic sequences et sn} be an arithmetic sequence that starts with an initial index of 0. The initial term is 3 and the comm
navik [9.2K]

Answer:

(a) The value of s_z is (z+1)(3-z).

(b) The next term in the sequence is -2.

Step-by-step explanation:

(a)

It is given that arithmetic sequence that starts with an initial index of 0.

The initial term is 3 and the common difference is -2.

a_0=3

d=-2

We need to find the value of s_z.

s_z=\sum_{n=0}^{n=z}(a+nd)

where, a is initial term and d is common difference.

s_z=\sum_{n=0}^{n=z}(3-2n)

The sum of an arithmetic sequence with  initial index 0 is

s_n=\frac{n+1}{2}[2a+nd]

where, a is initial term and d is common difference.

Substitute n=z, a=3 and d=-2 in the above formula.

s_z=\frac{z+1}{2}[2(3)+z(-2)]

s_z=\frac{z+1}{2}[2(3-z)]

s_z=(z+1)(3-z)

Therefore the value of s_z is (z+1)(3-z).

(b)

The given arithmetic sequence is

7, 4, 1, ...

We need to find the term in the sequence.

In the given arithmetic sequence the first term is

a=7

The common difference of the sequence is

d=a_2-a_1\Rightarrow 4-7=-3

The first term is 7 and common difference is -3.

Add common difference in last given term, i.e., 1, to find the next term of the sequence.

1+(-3)=1-3=-2

Therefore the next term in the sequence is -2.

3 0
3 years ago
During which interval was the bicyclists speed the greatest?
den301095 [7]

Answer:

The first our to the second hour

8 0
3 years ago
The width is 7 and the diagonal is 25 what is the height
Korvikt [17]
The height is 24.

We can use Pythagorean’s Theorem: a^2+b^2=c^2

substituting values we get:

a^2+7^2=25^2

Solving we get:
a^2+49=625
a^2=576
a=24.

So the height is 24.

Hope this helps!
8 0
2 years ago
Assume that there are 2 trials.
vampirchik [111]
Answer: The p(success) = 0.6

Your question is a little unclear, but I believe you are asking about the probability that at least one of the trials in the experiment were successful.

If that is the case, you simply have to add the probability of 1 success with the probability of 2 successes.

That is 0.48 +  0.16 = 0.64

Rounding our answer to one decimal place gives us 0.6.
7 0
2 years ago
Read 2 more answers
Find the common ratio for the following geometric sequence. <br><br> 2, 1, 0.5, 0.25, . . .
Oliga [24]
The common ratio is 2:1, or dividing by 2
3 0
3 years ago
Read 2 more answers
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