Efrenaazucenaidn
Answered

IDNStudy.com, kung saan nagtatagpo ang mga tanong at sagot. Tuklasin ang malalim na sagot sa iyong mga tanong mula sa aming komunidad ng mga bihasang propesyonal.

find the number of terns of an arithmetic series such that the sum is 10, c
ommon difference is 9 and the last term is 20

a. 8 b. 7 c. 6 d. 5​

Sagot :

ARITHMETIC SERIES

Find the number of terms of an arithmetic series such that the sum is 10, common difference is 9 and the last term is 20.

a. 8 b. 7 c. 6 d. 5

SOLUTION:

  • Given the last term and the common difference, this is easy.
  • Just simply subtract the common difference from the last term, so on and so forth.

20 - given term

[tex]20 - 9 = 11[/tex]

[tex]11 - 9 = 2[/tex]

[tex]2 - 9 = -7[/tex]

[tex]-7 - 9 = -16[/tex]

  • There are 5 terms.
  • To check, add the following terms, the answer should be 10.

[tex]20 + 11 = 31[/tex]

[tex]31 + 2 = 33[/tex]

[tex]33 + (-7) = 26[/tex]

[tex]26 + (-16) = 10[/tex] ✔︎

ANSWER:

The answer is 5. Letter D.

#CarryOnLearning

Pinahahalagahan namin ang bawat tanong at sagot na iyong ibinabahagi. Patuloy na magbahagi ng impormasyon at karanasan. Sama-sama tayong magtatagumpay. May mga katanungan ka? Ang IDNStudy.com ang may sagot. Bisitahin kami palagi para sa pinakabagong impormasyon.