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WARRIOR [948]
3 years ago
6

the first term of a sequence of numbers is 16 the term to term rule of this sequence is 'add 8' which number will be the first i

n the sequence to be in the 5 times table?​
Mathematics
1 answer:
jok3333 [9.3K]3 years ago
7 0

Answer:

The first number in the sequence which will be in the 5 times table is 40

Step-by-step explanation:

In this question, what we are asked to calculate is the number in the sequence that will be a multiple of 5 given the first number in the sequence and the subsequent differences.

The second number will be 16 + 8 = 24

The third number will be 24 + 8 = 32

The fourth number will be 32 + 8 = 40

Since 40 is a multiple of 5, thus, the first number in the sequence which will be in the 5 times table is 40

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I'm going to solve your equation step-by-step.<span><span>x<span>(<span>x + 19</span>) </span></span>= <span>−34

</span></span>Step 1: Simplify both sides of the equation.<span><span><span>x2 </span>+ <span>19x </span></span>= <span>−34

</span></span>Step 2: Subtract -34 from both sides.<span><span><span><span>x2 </span>+ <span>19x </span></span>− <span>(<span>−34</span>) </span></span>= <span><span>−34 </span>− <span>(<span>−34</span>)

</span></span></span><span><span><span><span>x2 </span>+ <span>19x </span></span>+ 34 </span>= 0

</span>Step 3: Factor left side of equation.<span><span><span>(<span>x + 2</span>) </span><span>(<span>x + 17</span>) </span></span>= 0

</span>Step 4: Set factors equal to 0.<span><span><span>x + 2 </span>= <span><span><span>0<span> or </span></span>x </span>+ 17 </span></span>= 0

</span><span><span>x = <span>−<span><span>2<span> or </span></span>x </span></span></span>= <span>−17

</span></span>Answer:<span><span>x = <span>−<span><span>2<span> or </span></span>x </span></span></span>= <span>−<span>17

Hope this helps! :)</span></span></span>
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