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makvit [3.9K]
3 years ago
11

3h-2(4h-5)=10-5h A-0 B-4 C-infinity many solutions D-no solutions​

Mathematics
1 answer:
Crank3 years ago
7 0

Answer:

Step-by-step explanation:

3h - 8h + 10 = 10 - 5h

-5h + 10 = 10 - 5h

10 = 10

infinitely many solutions

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What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47+ ...?​
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Answer:

\huge\boxed{18,475}

Step-by-step explanation:

The terms of this sum make the arithmetic sequence.

The fomula of a sum of <em>n</em> terms of an arithmetic sequence:

S_n=\dfrac{[2a_1+(n-1)d]\cdot n}{2}

We have

a_1=2\\d=17-2=32-12=47-32=15\\n=50

Substitute:

S_{50}=\dfrac{[2\cdot2+(50-1)\cdot15]\cdot50}{2}=(4+49\cdot15)\cdot25=(4+735)\cdot25\\\\=739\cdot25=18,475

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