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

Find the height of a parallelogram if its base is 9 feet and its area is 17 square feet
circle 1 is centered at (5, 8) and has a radius of 8 cm. circle 2 is centeted at (1,-2) and has a radius of 4cm. what transformation rule can be applied to circ
Explain the Trinity? (RELIGION)
Which of the following had have the highest viscosity ? A) orange juice B) corn syrup C) water D) milk
The circumstance of a circular garden is 62.8 feet. What is the radius of the garden? Use 3.14 for, and do not round your answer
When El Niño warms up the Pacific Ocean A. Plants grow B. Fishing improves C. It dose not affect weather in land D. The fishing industry suffers
In the following lines in Beowulf, what literary technique has the poet used in the underlined words? Synecdoche epithet kenning litotes
Which of the following are examples of irrational numbers?
Less than normal hearing (either sensitivity or speech understanding) resulting from auditory disorders) refers to
need help coming up with a thesis claim for solution 2. if not a thesis claim I will gladly take opinions on the matter