All categories

3 years ago

the first term of an arithmetic sequence is 8, the last term id 56 and the sum is 416. find the number of terms

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

7 0

Answer:

Step-by-step explanation:

first term (a) = 8

last term ( ) = 56

sum (S) = 416

number of terms (n) = ?

equation

S = n/2 (a+)

416 = n/2 (8+56)

416 = n/2 (64)

416 = 32n

n = 416/32 = 13

You might be interested in

17n + 4n- 4= 122<br><br> how do i solve for n?

Leokris [45]

Answer:

n = 6

Step-by-step explanation:

17n + 4n - 4 =122

combine like terms 17n & 4n

21n - 4 = 122

21n - 4 + 4 = 122 + 4

21n = 126

21n / 21 = 126 / 21

n = 6

8 0

3 years ago

Please answer ill do anything

kifflom [539]

I think it's 8 lemons per day (srry if I was not helpful)

6 0

3 years ago

How to round 153/13 to nearest tenth

kherson [118]

Divide 153 by 13 which is 51.
There is no need to round to the nearest tenths

5 0

3 years ago

Read 2 more answers

Suppose you have one pyramid with a base that is 10 meters long and 10 meters wide with a slant that is 15 meters. Now, if the l

marishachu [46]

Answer:

The difference between area of pyramids is 125 sq.m.

Step-by-step explanation:

Length of base = 10m

Breadth of base = 10 m

Slant height = 15 m

Area of pyramid = Area of 5 bases

Area of pyramid = $\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+10 \times 10$

Area of pyramid = 400 sq.m.

Now the length of base is increased to 15

Length of base = 15m

Breadth of base = 10 m

Slant height = 15 m

Area of pyramid = Area of 5 bases

Area of pyramid = $\frac{1}{2} \times 15 \times 15+\frac{1}{2} \times 15 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+10 \times 10$

Area of new pyramid = 525 sq.m.

Difference between area of pyramids=525 sq.m. - 400 sq.,. = 125 sq.m.

Hence The difference between area of pyramids is 125 sq.m.

4 0

4 years ago

If there is 60 runners and they each get 8 oz of water how many pounds of water do they get total

irina1246 [14]

If you multiple the numbers together...you will get the answer....480 pounds of water in total

7 0

3 years ago