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2 years ago

Instructions: Identify the type of sequence and write the explicit rule. Sequence: 10, 21, 23, 25 Type: Explicit Rule :

Mathematics

1 answer:

True [87]2 years ago

4 0

Answer:

The formula for the sequence is a(n)=(n-1)+d, where n=any nth ordinal term in the sequence, n-1=the previous term, and where d=a consecutive natural number N beginning with a(n1)=1, a(n2)=2,…

PREMISES

S=1, 3, 6, 10, 15, 21,…

The partial sequence suggests a pattern from left to right where the numbers increase by increasing amounts

ALGORITHM

a(n)=(n-1)+d, where n=any nth ordinal term in the sequence, n-1=the previous term, and where d=a consecutive natural number N beginning with a(n1)=1, a(n2)=2, a(n3)=3, and so forth over the range of the sequence.

PATTERN

(1) 0+1=1

(2) 1+2=3

(3) 3+3=6

(4) 6+4=10

(5) 10+5=15

(6) 15+6=21

(7) 21+7=28

(8) 28+8=36

(9) 36+9=45

(10) 45+10=55

and so forth

C.H.

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Answer:

A; the actual length of the land bridge from P to H is 50 yards

Step-by-step explanation:

Here in this case, given the coordinates of P and H, we want to calculate the actual length of the distance between the two points.

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D = √(x2-x1)^2 + (y2-y1)^2

In this case, (x1,y1) = (2,55) while (x2,y2) = (32,15)

Substituting these values

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D = √(-30)^2 + (-40)^2

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3 years ago

Find the volume of the prism

Andrei [34K]

Answer:

440cm³

Step-by-step explanation:

Area of trapezium base=

$\frac{1}{2} \times (a + b) \times h$

$\frac{1}{2} \times (8 + 14) \times 4$

$\frac{1}{2} \times 22 \times 4 \\ = \frac{88}{2} \\ = 44 {cm}^{3}$

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3 years ago

Henry takes out a $650 discounted loan with a simple interest rate of 12% for a period of 7 months. What is the effective intere

Andru [333]

The effective rate of interest will be 9.10 %.

<h3>What is compound interest?</h3>

Compound interest is applicable when there will be a change in principle amount after the given time period.

Let's say you have given 100 for two years with a 10% rate of interest annually than for the second-year principle amount will become 110 instant of 100.

Given for simple interest

Principle amount = $650

Rate of interest = 12%

Time period = 7 months.

Interest= PRT/100

Interest= 650× 12 × 7/100 = 546

So final amount = 650 + 546 = $1196

By compound interest

1196 = 650 $[1 + R/100]^{7}$