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  -62.5008

Step-by-step explanation:

The terms form a geometric sequence with first term -75 and common ratio -1/5. The sum of n terms of such a sequence is...

  Sn = a1(1 -r^n)/(1 -r)

For the values of a1, r, and n, this sum is ...

  S7 = -75(1 -(-1/5)^7)/(1 -(-1/5)) = -75(1 +1/78125)/(1 +1/5)

  = -75(13021/15625) = -62 313/625

  = -62.5008

The sum of the first 7 terms of the sequence is -62.5008.

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step-by-step explanation: