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vichka [17]
3 years ago
8

In the sequence s of numbers, each term after the first two terms is the sum of the two immediately preceding terms. what is the

5th term of s ? the 6th term of s minus the 4th term equals 5. the 6th term of s plus the 7th term equals 21.
Mathematics
1 answer:
Lina20 [59]3 years ago
6 0
Sn=n/2 (2a1 +(n-1)d)

[s5= 5/2 (2a1 +(5-1)d) = 5a1+10d]

s6=3(2a1+5d) = 6a1+15d
s4=2(2a1+3d) = 4a1+6d

6a1+15d -(4a1+6d) = 5 -----(1)

s7=7/2(2a1+6d) =7a1+21d

6a1+15d + 7a1+21d = 21 -----(2)

(1) 2a1+9d=5 -----(3)
(2) 13a1+36d=21 ----(4)

(3)*4 ; 8a1+36d=20 ----(5)
(4)-(5) 5a1 = 1
so a1 = 1/5

(3) 2a1+9d=5
2(1/5)+9d = 5
9d = 5-2/5 =23/5
d = 23/45


so [s5= 5/2 (2a1 +(5-1)d) = 5a1+10d = 5(1/5) + 10(23/45) = 1 + 5.11 = 6.11 ]

i'm not sure about the answer but the process is correct
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The difference of the highest and lowest observation is called.​
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The difference of the highest and lowest observation is called Range.

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Tasha gets $7.50 every week for walking the neighbors dog daily she also makes and sells bracelets for $2.50 each she wants to e
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There were 30 pairs of jeans on sale for 2/3 of the regular price.
lara [203]

Answer : $36

Explanation:

To find the sale price we can set up a proportion. 25/100 = x/48. We keep the 100 and 48 both on the bottom of the fraction since they represent the "whole". x represents the discount off the full price of the dress. To solve this proportion, we cross multiply, yielding 48 * 25 = 100x. Alternatively, if you notice that 25/100 simplifies to 1/4, we can use 1/4 in our proportion instead of 25/100, thus, 1/4 = x/48. Then, cross multiplying, we get 48 = 4x, so x = 12. Then we subtract this discount from the original price yielding 48 – 12 = 36; thus, she paid $36 for the dress.

25% = 25/100

25100=x48

14=x48

(1) * (48) = (4) * (x)

48 = 4x

(48)/4 = (4x)/4

12 = x

The discount is $12.

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6 0
3 years ago
Suppose that an account earns 5.9​% interest and after 2 years the balance is $ 4472. Find the principal that was invested. Use
Marizza181 [45]

Answer:

The principle amount = $4000

Step-by-step explanation:

Formula:

Simple interest I = PTR/100

P - Principle amount

T - Number of years

R - Rate of interest

<u>To find principle amount</u>

Here , P = ?, T = 2 years, R = 5.9% and p + I = $4472

I = PTR/100

P + (P*2**5.9)/100 = 4472

P[1 + 11.8/100] = 4472

P[111.8/100] = 4472

P = (4472*100)/111.8 = 4000

Therefore the principle amount P = $4000


7 0
3 years ago
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