nakworm01
nakworm01 nakworm01
  • 16-04-2015
  • Mathematics
contestada

Find sum of -3,2,7,12....,132
Arithmetic series

Respuesta :

naǫ
naǫ naǫ
  • 16-04-2015
[tex]a_1=-3 \\ d=2-(-3)=5 \\ a_n=132 \\ \\ a_n=a_1+d(n-1) \\ 132=-3+5(n-1) \\ 132=-3+5n-5 \\ 132=-8+5n \\ 140=5n \\ n=28 \\ \\ S_n=\frac{n(a_1+a_n)}{2} \\ S_{28}=\frac{28(-3+132)}{2}=\frac{28 \times129}{2}=14 \times 129=1806[/tex]

The sum is 1806.
Answer Link

Otras preguntas

Explain how hunter-gatherers affected the environment in which they lived.
you have been cleaning diesel dispensers for 35 minutes you have completed 6 dispensers how many minutes has it taken you to clean 1 dispenser
what is the equation of a parabola with a directrix x = 8 and focus (-8,0)
There are six dimensions of health: physical, mental, emotional, social, spiritual, and environmental. On a scale of 1-10, with 10 being optimal wellness, how w
the results of a fitness trial is a random variable x which is normally distributed with mean µ and standard deviation 2.4. a researcher uses the results from a
What are some of the characteristics of safe vs. "at risk" drivers
what is the value of x? a. 35° b. 25° c. 17° d. 8°
solve the two-step equation. 5.1 = –3x – 4.2
Choose three types of fossils. Describe their appearance AND how they were formed.
A triangle has sides with lengths of 2x-7, 5x-3, and 2x-2. what is the perimeter of the triangle