1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
raketka [301]
2 years ago
14

5. (5 points) Write the first 5 terms of the sequence if a1 = 9 and an-1 +n

Mathematics
1 answer:
Ivanshal [37]2 years ago
6 0

Answer:

9,4,-1,-6,-11

Step-by-step explanation:

When n = 1: a(1+1) =a(1) +1

                   a(2) = -9 +1

                   a(2) = -8

When n = 2: a(2+1) =a(2) + 2

                   a(3) = -8 + 2

                    a(3) = -6

When n = 3: a(3+1) = -6 + 3

a(4) = -3

You might be interested in
The graphs of the equations Ax + By =15 and Ax - By =9 intersect at (2, 1). Find A and B. Show or explain your reasoning
iVinArrow [24]
Hi here’s the answers hope this helps

5 0
3 years ago
A. [4 marks]
storchak [24]

The value of d is -2

Step-by-step explanation:

The nth term of the arithmetic sequence is u_{n}=u_{1}+(n-1)d , where

  • u_{1} is the first term
  • d is the common difference between each 2 consecutive terms

The nth term of the geometric sequence is u_{n}=u_{1}r^{n-1} , where

  • u_{1} is the first term
  • r is the common ratio between each two consecutive terms r=\frac{u_{2}}{u_{1}}=\frac{u_{3}}{u_{2}}

∵ u_{1} of an arithmetic sequence is 1

∵ The common difference is d, where d ≠ 0

∵ u_{2} , u_{3} , u_{6} are the first 3 terms of a geometric sequence

∵ u_{2} = 1 + (2 - 1)d

∴ u_{2} = 1 + d

∵ u_{3} = 1 + (3 - 1)d

∴ u_{2} = 1 + 2d

∵ u_{6} = 1 + (6 - 1)d

∴ u_{2} = 1 + 5d

∴ The first 3 terms of the geometric sequence are (1 + d) , (1 + 2d) ,

   (1 + 5d)

∵ The common ratio in the geometric sequence is r=\frac{u_{2}}{u_{1}}=\frac{u_{3}}{u_{2}}

∴ r=\frac{1+2d}{1+d}=\frac{1+5d}{1+2d}

- Use cross multiplication with the equal fractions

∵ \frac{1+2d}{1+d}=\frac{1+5d}{1+2d}

∴ (1 + 2d)(1 + 2d) = (1 + d)(1 + 5d)

∴ 1 + 2d + 2d + 4d² = 1 + 5d + d + 5d²

- Add like terms in each side

∴ 1 + 4d + 4d² = 1 + 6d + 5d²

- Subtract 1 from both sides

∴ 4d + 4d² = 6d + 5d²

- Subtract 4d from both sides

∴ 4d² = 2d + 5d²

- Subtract 4d² from each side

∴ 0 = 2d + d²

- Take d as a common factor

∴ 0 = d(2 + d)

- Equate each factor by 0

∴ d = 0 but we will reject it because d ≠ 0

∴ 2 + d = 0

- Subtract 2 from both sides

∴ d = -2

The value of d is -2

Learn more:

You can learn more about the sequence in brainly.com/question/1522572

#LearnwithBrainly

7 0
3 years ago
Garry wants to have $750,000 in 30 years. How much does he have to invest per month in an annuity with an annual interest rate o
Nikolay [14]
I think the answer is Garry has to invest 2,035 dollars a month for 30 years to reach his goal of 750,000 dollars
4 0
3 years ago
Why does it take 3 copies of 1/6 to show the same amount as 1 copy of 1/2?
melisa1 [442]
Because 1/2 of 6 =1/3 and 1/2×1/3=1/6
7 0
3 years ago
Read 2 more answers
Can someone help me in stuck thank you (picture attached)
Ivahew [28]
C. 12 /3 go Brainly! Have Fun
5 0
3 years ago
Other questions:
  • Olivia ties 2.5 feet of ribbon onto one balloon. How many yards of ribbon does Olivia need for 18 Balloons? plz work it is due
    11·1 answer
  • A car was sold at 20150. that price was 65℅ of original price. what was the original price?
    13·1 answer
  • 1
    13·1 answer
  • What are two different statistics that demographers use to study population? define the statistics?
    11·2 answers
  • Calculate the number of degrees in one interior angle of a regular 44-gon.
    11·1 answer
  • Amy mows 7 lawns in 4 hours. How long does it take
    13·2 answers
  • Question 4 15 points
    11·2 answers
  • Which of the following expressions represent 15% tip on a $20 meal? Which represents the total bill? **Select all that apply**.
    15·1 answer
  • Drag numbers to write an equation for the line in slope-intercept form. Numbers may be used once, more than once, or not at all.
    6·1 answer
  • Write this equation of a line in point slope form: slope 1/2; (3, -1)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!