raushantiwari8294
raushantiwari8294
08-09-2020
Mathematics
contestada
10^2+12^2+14^2+......+26^2=??
Respuesta :
mhanifa
mhanifa
18-09-2020
Answer:
3156
Step-by-step explanation:
Used formula:
(1² + 2² + 3² + ... + n²) =1/6*n(n + 1)(2n + 1)
--------
10²+12²+14²+......+26² =
(2*5)²+(2*6)² + (2*7)² + ... + (2*13)² =
4*(5²+6²+7²+...+13²) =
4*(1²+2²+...+13² - (1²+2²+3²+4²)) =
4*(1/6*13(13+1)(2*13+1) - (1+4+9+16)) =
4*(1/6*13*14*27- 30) =
4*(819 - 30) =
4*789 =
3156
Answer Link
VER TODAS LAS RESPUESTAS ( 52+ )
Otras preguntas
how do you solve m2-5m-14=0
If r = 6 cm, h = 20 cm, and a = 9 cm, what is the volume of birdseed that the bird feeder can hold at full capacity?
Which defines energy in scientific terms? A. a change in temperature B. a force multiplied by distance C. the ability to do work D. the motion of an object
let n = 4, what is the value of 7 x 6 + n x 2? (A) 50 (B)92 (C)98 (D)140
The global economic crisis following World War I was caused by
Two rectangles are similar. One has a length of 12 cm and a width of 9 cm, and the other has a width of 8 cm. Find the length of the second rectangle. Round to
Which choice identifies the kind of sentence and the correct end mark? Can you recognize Beethoven's style A. imperative, exclamation point B. declarative, peri
Which group did Nazi ideology consider superior to other people?
A savings account balance was $135.10 before withdrawal of $60, a depósit of $22.50, and a withdrawal of $45. What was the balance after the withdrawal s And
Which words in the sentence make up the adverb phrase? Which word does it modify? After swimming lessons, Aunt Helen drove us home. A. after swimming lessons
