2 years ago

Someone please help quickly.......

Mathematics

1 answer:

Rainbow [258]2 years ago

6 0

Answer:

Step-by-step explanation:

a.) 3(2)+4(6)= 6+24= 30

b.)3(6)+4(2)= 18+8= 26

c.)3(2)+4(-6)= 6+(-24)= -18

d.)3(-2)+4(6)= -6+24= 18

-18 is less than -1

Less than inequality sign means less than or equal to

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write out the sum using the summation notation, assuming the suggested pattern continues. -10-2+6+14+...+110

Ronch [10]

The series is an arithmetic series with first term -10 and common difference (-2-(-10))=8. The general term a_n can be written as
a_n = -10 + 8(n-1)
or
a_n = -18+8n

The last term corresponds to
110 = -18+8n
128 = 8n
16 = n

So, the summation can be written as
$S_{16}=\sum\limits_{n=1}^{16}{(-18+8n)}$