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
mixer [17]
3 years ago
13

The sum of the first terms of an Arithmetic progression (Ap) is 130.if the fifth term is 3times,the first term,find the (a)commo

n difference (b)first term (c)number of terms of the Ap if the last term is 28.​
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
5 0

Answer:

For part a)

130 = 10/2[2a+(10-1)d]

Simplify, u get

2a + 9d = 26.................(1)

Also U5 = a + (5-1)d = 3a

Simplify, u get

a= 2d...................(2)

Substituting for a in equation 1,

2(2d)+9d= 26

Solving for d, we get

d = 2

In part b) substituting for d in equation 2 to get the first term

a = 2(2) = 4

Part c) the no. of terms required can be obtained by solving

28 = 4+(n-1)2

n = 13

You might be interested in
The braking time of a car is it discrete or continuous?
Rom4ik [11]

Answer:

IT'S DISCRETE

Step-by-step explanation:

I looked it up-

So be grateful

3 0
2 years ago
Read 2 more answers
Stephen evaluated (6.34 times 10 Superscript negative 7 Baseline) (4.5 times 10 Superscript 3 Baseline). His work is shown below
Maksim231197 [3]

Answer:

The step 4 and 5 describe the errors Stephen made.

Step-by-step explanation:

Given : Stephen evaluated (6.34\times 10^{-7})(4.5\times 10^3).  His work is shown below.

To find : Which two statements describe the errors Stephen made?

Solution :

Step 1 - (6.34\times 10^{-7})(4.5\times 10^3)

Step 2 - (6.34\times 4.5)(10^{-7}\times 10^3)

Step 3 - (28.53)(10^{-4})

Step 4 - 28.53\times 10^{4}

Error is the step as 4 sign is negative.

So correct step is 28.53\times 10^{-4}

Step 5 - 28.53\times 10^{3}

Error is the step as there is 4 in place of 3.

So correct step is 28.53\times 10^{-4}

The step 4 and 5 describe the errors Stephen made.

7 0
3 years ago
Read 2 more answers
Write 5 Expressions that are equivalent to 20x + 100
lapo4ka [179]
1st. x times 20+100
2nd. 100+20x
3rd. 100+x times20
4th. 20x+100
5th. x20+100

8 0
3 years ago
Read 2 more answers
At the beginning of summer, the water level on a pond is 2 feet below its normal level. After an unusually dry summer, the water
Scilla [17]

Answer:

Step-by-step explanation:

8 0
3 years ago
What is 5x × 12y - 8xy​
makkiz [27]

Answer:

52xy is the answear. Hope it helps

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • What does it mean to evaluate an expression?
    6·2 answers
  • Suppose that the functions r and s are defined for all real numbers x as follows. =rx−x5 =sx+2x3 write the expressions for ·rsx
    9·1 answer
  • How do you do surface area
    14·2 answers
  • What is 1 forth of 2 thirds
    12·2 answers
  • What is the approximate area of the shaded region
    7·2 answers
  • 85% of the people survey thought the price of the car wash was reasonable. If 164 people thought the cost of the car wash was re
    15·1 answer
  • -17 + 20 + (-3)<br> SOMEBODY HELP ME PLS ASAP
    15·1 answer
  • JNCHH$JCERLKERIUVHCEKCORCURNJ
    6·1 answer
  • A nursery owner buys 5 panes of glass to fix some damage to her greenhouse. The 5 panes cost ​$12.25. ​Unfortunately, she breaks
    9·1 answer
  • Helppppppppppppppppppppppppppppppp
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!