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anonymous

  • one year ago

Find the four arithmetic means between -21 and -36.

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  1. anonymous
    • one year ago
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    @Vocaloid

  2. jim_thompson5910
    • one year ago
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    -21 is the first term -21+d is the next term right after the first term. The d is some unknown common difference add d to the last term, -21+d, to get (-21+d)+d = -21+d+d = -21+2d

  3. jim_thompson5910
    • one year ago
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    so far we have first term: -21 second term: -21+d third term: -21+2d what would be the fourth term?

  4. anonymous
    • one year ago
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    -21 + 3d?

  5. jim_thompson5910
    • one year ago
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    correct, how about the fifth term?

  6. anonymous
    • one year ago
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    -21 + 6d

  7. jim_thompson5910
    • one year ago
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    you add d to the fourth term fifth term = (fourth term) + d

  8. anonymous
    • one year ago
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    4d

  9. jim_thompson5910
    • one year ago
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    yep, so we have this summary so far first term: -21 second term: -21+d third term: -21+2d fourth term: -21+3d fifth term: -21+4d

  10. jim_thompson5910
    • one year ago
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    the second term through the fifth term will be the middle four terms the last term, the sixth term, we need is sixth term = (fifth term) + d sixth term = (-21+4d) + d sixth term = -21+5d

  11. jim_thompson5910
    • one year ago
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    first term: -21 second term: -21+d third term: -21+2d fourth term: -21+3d fifth term: -21+4d sixth term: -21+5d

  12. jim_thompson5910
    • one year ago
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    the sixth term is also equal to -36 which is given at the top, so, sixth term = -21+5d -21 + 5d = -36 solve for d and tell me what you get

  13. anonymous
    • one year ago
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    one thing, how is the 6th term equal to -36?

  14. anonymous
    • one year ago
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    d = -3

  15. jim_thompson5910
    • one year ago
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    we have this sequence at first |dw:1439334777260:dw|

  16. jim_thompson5910
    • one year ago
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    |dw:1439334815361:dw|

  17. jim_thompson5910
    • one year ago
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    |dw:1439334837901:dw|

  18. jim_thompson5910
    • one year ago
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    the X,Y,Z,W in the middle represents the second through fifth terms

  19. anonymous
    • one year ago
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    but how did you know it was 6 terms between?

  20. jim_thompson5910
    • one year ago
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    `Find the four arithmetic means between -21 and -36.` we basically have an arithmetic sequence starting from -21 with four terms after that (unknown for now) and then -36 after that fourth unknown term

  21. jim_thompson5910
    • one year ago
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    there are 4 terms between and not 6

  22. anonymous
    • one year ago
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    ohh i get it! thank you, btw i got -3

  23. jim_thompson5910
    • one year ago
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    correct, d = -3

  24. jim_thompson5910
    • one year ago
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    now compute -21+d -21+2d -21+3d -21+4d to get those four unknown terms

  25. anonymous
    • one year ago
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    -24 , -27, -30, -33 all of them are the anwser? sorry i was called out of the room for a second

  26. anonymous
    • one year ago
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    @jim_thompson5910

  27. jim_thompson5910
    • one year ago
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    very good, you got it

  28. anonymous
    • one year ago
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    thank you! can i tag u in other question i post if i need help? im behind in school with work and all and kinda freaking out lol

  29. jim_thompson5910
    • one year ago
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    sure

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