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rusak2 [61]
3 years ago
14

Given that the first term and the common difference of an arithmetic progression are 6 and 3 respectively. Calculate the sum of

all terms from 4th term to the 14th term.​
Mathematics
1 answer:
Goryan [66]3 years ago
5 0

Answer:

330

Step-by-step explanation:

Evaluate the sum of 14 terms and subtract the sum of the first 3 terms

The sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ], so

S_{14} = 7 [ (2 × 6) + (13 × 3)]

                         = 7(12 + 39) = 7 × 51 = 357

S_{3} = 6 + 9 + 12 = 27

Sum of terms from 4 th to 14 th = 357 - 27 = 330

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The delivery guy pushes a stove forward with a force of 80 Newtons, the stove has 115 Newtons. Does the stove move? Is the net g
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3 years ago
WILL GIVE BRAINLIEST. Find the linear equations written in standard form. Select all that apply.
Anna71 [15]

Answer:

x + y = -1

x + 4y = 0

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Step-by-step explanation:

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4 0
3 years ago
Needing help with these 2 problems
UNO [17]

Answer:

15) 3.2

17) 13.4

Step-by-step explanation:

To find the missing lengths, you need to use the Pythagorean theorem:

a² + b² = c²

In this form, "c" represents the length of the hypotenuse and "a" and "b" represent the lengths of the other two sides.

You are trying to find one of the side lengths (not the hypotenuse) in 15). To find the other length, you can plug the other values into the equation and simplify to find "b".

15)    a = 4.1     c = 5.2

a² + b² = c²                                    <----- Pythagreom Theorem

(4.1)² + b² = (5.2)²                          <----- Plug values in for "a" and "c"

16.81 + b² = 27.04                         <----- Raise numbers to the power of 2

b² = 10.23                                      <----- Subtract 16.81 from both sides

b = 3.2                                           <----- Take the square root of both sides

You are trying to find the hypotenuse in 17). Since you have been given the lengths of the other sides, you can plug them into the equations and simplify to find "c".

17)   a = 4.4      b = 12.7

a² + b² = c²                                      <----- Pythagreom Theorem

(4.4)² + (12.7)² = c²                           <----- Plug values in for "a" and "b"

19.36 + 161.29 = c²                          <----- Raise numbers to the power of 2

180.65 = c²                                      <----- Add

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5 0
2 years ago
Deborah is saving for a trip. She wants to have at least ​$74 for each of the 13 days of her trip. If saves ​$84 each month for
Ainat [17]

Answer:

No she will not save enough money for her trip and she needs $122 more for her trip.

Step-by-step explanation:

Deborah requires $74 each day for 13 days trip

Total least amount needed for the trip = 74*13

                                                       = $962

Deborah's saving strategy : she saves $84 per month for 10 months

saved amount at the end of the 10th month = 84*10 = $840

840/10 = $84

This clearly shows she is not saving enough money for her trip. She needs $122 more to support the expense of her trip.

Timothy way

84*10= $840 is to be compared with 74*18 = $1332

This method is also not a feasible one for calculating Deborah's expenses of her trip.

5 0
3 years ago
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