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Anit [1.1K]
2 years ago
13

5.3.21

Mathematics
1 answer:
Flauer [41]2 years ago
7 0

Answer:

y = -4x + 9

Step-by-step explanation:

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The first term of an arithmetic sequence is 7 and the sixth term is 22. Find(a)the common difference;(2)(b)the twelfth term;(2)(
SVEN [57.7K]

d = 3 , a₁₂ = 40 and Sx_{100} = 7775

In an arithmetic sequence the nth term and sum to n terms are

<h3>• an = a₁ + (n-1)d</h3><h3>• S_n = \frac{n}{2}[2a + (n-1)d]</h3><h3>where d is the common difference</h3><h3>a₆ = a₁ + 5d = 22 ⇒ 7 + 5d = 22 ⇒ 5d = 15 ⇔ d = 3</h3><h3>a₁₂ = 7 + 11d = 7 +( 11× 3) = 7 + 33 = 40</h3><h3>S₁₀₀ = \frac{50}{2}[(2×7) +(99×3)</h3><h3>       = 25(14 + 297) = 25(311)= 7775</h3>
7 0
2 years ago
What is the closed linear form of the sequence 3, 4, 5, 6, 7, ...?
Kay [80]

Answer:

Step-by-step explanation:

This is an arith. sequence.

The first term is 3 and the common difference is 1

Thus, the general formula for the nth term of this sequence is:

a(n) = 3 + 1(n - 1)   This matches Answer A

6 0
3 years ago
Read 2 more answers
Use exponents to write an expression for one billion
kykrilka [37]
The anser would be 500 with the exponet of 100 solve my multiplying
5 0
3 years ago
Every day, Jason's burrito stand uses 2 bags of tortillas. For how many days will 3/4 of tortillas last?
Katarina [22]
3/8 of 1 day is your answer
4 0
2 years ago
A chemist is using 382 milliliters of a solution of acid and water. If 15.4% of the solution is acid, how many milliliters of ac
Elina [12.6K]

Answer:

58.8

Step-by-step explanation:

basic facts:

-15.4% is the same as 15.4/100

- the word 'of' in maths means times

so 15.4% of the 382ml is the same as

382*15.4/100

to do that, you multiply 382 by 15.4 = 5882.8

then you divide that by 100= 58.828

and then you just round that of to 58.8

                                 

8 0
3 years ago
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