find the sum of even numbers between 1001 and 10,000 (Arithmetic progressions) DO STEP BY STEP PLEASE

Mathematics

1 answer:

love history [14]2 years ago

7 0

Step-by-step explanation:

arithmetic progression

even numbers between 1001 and 10000

1002,1004,.......9998

Tn=a+(n-1)d

Tn = 9998 last term in the progression of even numbers

a = 1002 first term

d = 2 distance

9998=1002+(n-1)(2)

8996=2n-2

8998=2n

n = 4499 the number of terms

sum = n/2 (a+Tn) = 4499/2(1002+9998)

= (4499/2)(11000) = 24744500

Logic:

notice what happens when you add the first and last terms

1002+9998=11000

1004+9996=11000

.......

You might be interested in

Two identical condominiums were built in a new high-rise building. Condo A’s living room is a rectangle 24 ft. long and 18 ft. w

nadezda [96]

Answer:

The perimeter of a rectangular playground is 46 m. ... 46 – 14 = 32 32 / 2 = 16 ... new carpeting for her family room. Her family room is a 12 ft by 21 ft rectangle. ... Charles has a rectangular flower garden that is 5 yd long and 12 yd wide. ... After installing the carpet, Betty decides to also install floor wood molding for her living.

(i just added names for explanation)

6 0

3 years ago

Which of the following equations can be used to find the length of angle LN in the triangle below?

shtirl [24]

Answer:

Option A. $LN^{2}=33^{2}-11^{2}$