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

Otras preguntas

what expression is equivalent to 2x+9-x+3? show your answer is correct by substituting a value for x.

Help with range. Pleeeeease?

which of the following is a disadvantage of cloning? A. increases genetic diversityB. creates animals that may be weakC. does not create genetically identical a

Restate The Thesis(Conclusion)

In pea plants, seed shape and seed color are controlled by genes located on different chromosomes. Seeds may be round (R) or wrinkled (r), with the allele for r

Which trigonometric function has a range that does not include a zero?

What enabled the united states to develop as a nation-state during the nineteenth century?

Which is a fraction? 11 2/3 4 2

According to records from the last 50 years, there is a 2/3 chance of June temperatures being above 80 F. Azul needs to find the probability that it will be abo

laura earns 2.90 dollars more per hour than her friend jess, write an equation to show how much jess earns per hour, use j to represent her hourly rate, how muc