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Romashka-Z-Leto [24]
3 years ago
9

If f(x) = -4x - 6, then f(0.3) =

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
8 0

Step-by-step explanation:

-4 x 0.3 = -1.2

f(0.3) = -1.2 -6

-1.2 - 6 = -7.2

f(0.3) = -7.2

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Find the indicated nth term <br> show your solution 8,15,22,29,...,a18
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Step-by-step explanation:

Hey there! :)

Let us find the 18th term — first, there are two main types of sequences.

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  • Geometric Sequence — a sequence that has same ratio.

But if you notice, it cannot be geometric sequence because if we do ratio test, there are no common ratios.

Hence, it can only be arithmetic sequence.

<u>C</u><u>o</u><u>m</u><u>m</u><u>o</u><u>n</u><u> </u><u>D</u><u>i</u><u>f</u><u>f</u><u>e</u><u>r</u><u>e</u><u>n</u><u>c</u><u>e</u>

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29-22 = 7

Therefore, 7 is our common difference.

<u>G</u><u>e</u><u>n</u><u>e</u><u>r</u><u>a</u><u>l</u><u> </u><u>T</u><u>e</u><u>r</u><u>m</u><u>s</u><u> </u><u>o</u><u>f</u><u> </u><u>A</u><u>r</u><u>i</u><u>t</u><u>h</u><u>m</u><u>e</u><u>t</u><u>i</u><u>c</u><u> </u><u>S</u><u>e</u><u>q</u><u>u</u><u>e</u><u>n</u><u>c</u><u>e</u>

\displaystyle \large{a_n = a_1  + (n - 1)d}

We know that a1 is the first term of sequence which is 8.

Our common difference is 7.

We want to find the 18th term — therefore,

\displaystyle \large{a_{18} = 8  + (18 - 1)7} \\  \displaystyle \large{a_{18} = 8  + (17)7} \\  \displaystyle \large{a_{18} = 8  + 119} \\  \displaystyle \large{a_{18} = 127}

Therefore, the 18th term is 127.

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