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s344n2d4d5 [400]
3 years ago
15

What are the steps for substitution(word problems)? Please and thanks!

Mathematics
1 answer:
nataly862011 [7]3 years ago
6 0
The steps for substitution are  step 1 solve for the equation x = or y then step 2 is substitute the solution from step 1 into the second equation and step 3 is solve the new equation for x.

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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
PLS HELP ME WITH MY GEOMETRY ITS MY LAST QUESTION
Lelu [443]

Answer:

12, 1

Step-by-step explanation:

12- 6(1)=

12-6= 6

5 0
3 years ago
A store sells 5 bananas for $1.80. How much will 9 bananas cost?
tiny-mole [99]

Answer:

3dollars

Step-by-step explanation:

easy

7 0
2 years ago
An equation is shown below:
Tasya [4]
5(2x-8)+15=-15 -15 in both sides 5(2x-8)=-30 /5 2x-8=-6 +8 2x=2 /2 x=1 I hope it helps
5 0
3 years ago
Read 2 more answers
Explain why 1/3 is or isnt an irrational number
Afina-wow [57]

A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever). However, one third can be express as 1 divided by 3, and since 1 and 3 are both integers, one third is a rational number.

hope it helps!

5 0
3 years ago
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