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hammer [34]
2 years ago
8

Please help!! Write the sum using summation notation, assuming the suggested pattern continues. -9 - 4 + 1 + 6 + ... + 66

Mathematics
1 answer:
fiasKO [112]2 years ago
4 0
r=-4-(-9)=-4+9=5 \\  \\ a_{1}=-9 \\  \\ a_{n}=66 \\  \\ a_{n}=a_{1}+(n-1)r \\  \\ -9+5(n-1)=66 \\  \\ -9+5n-5=66 \\  \\ 5n-14=66 \\  \\ 5n=80 \\  \\ n=16 \\  \\ S_{n}= \frac{a_{1}+a_{n}}{2} *n \\  \\ S_{n}= \frac{-9+66}{2}*16=57*8=456
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Step-by-step explanation:

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Answer:

  • see below

Step-by-step explanation:

Total number of trials =600.

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On tossing a coin,

let  \: E_1  \: and  \: E_2  \: be  \: the  \: events \:  of \:  getting  \: a  \: head

and of getting a tail respectively.

then,

1)  \: P \:  (getting \:  a  \: head) = \: P \:  (E_1)

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\longrightarrow \: 0.57

\red{ \rule{150pt}{3pt}} \:

2) P (getting \: a\: tail) =P (E_2)

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70080067

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