Which of the following is a geometric sequence? 3, 6, 12, 24, … 4, 8, 12, 16, … 2, 4, 16, 256, …
Svetlanka [38]
Answer:
The geometric sequence would be 3, 6, 12, 24 . . .
Step-by-step explanation:
A <u>geometric sequence</u> is when the you find the next term in the sequence by multiplying by a <em>common ratio</em>. (A common ratio is the constant value that you <em>multiply</em> by each time in a geometric sequence.) In order to solve your problem, you would find the relationship between each term in the sequence. For the first sequence, 3, 6, 12, 24, etc., you can see that the ratio between one term and the next would be two: 3×2 = 6, 6×2 = 12, 12×2 = 24, and so on. This makes it a geometric sequence, but you still need to check the other sequences to make sure. For the sequence 4, 8, 12, 16, . . . , you need to add four each time. This means that the sequence has a <em>common difference</em>, or the constant value you <em>add or subtract</em> by in an <u>arithmetic sequence</u>. So, we know that the second sequence is not the answer. Finally, we check the last sequence, and if you look at it you can see that the you square the previous term to get the current one. This is different from a geometric sequence, and has a different name. However, it is not a geometric sequence because you are not multiplying by the <em>same</em> value each time (it doesn't have a common ratio). So, the first sequence, 3, 6, 12, 24, . . . , is a geometric sequence.
Answer:
The warehouse has a better price
Step-by-step explanation:
It has a better price because each can at the grocery store is $0.50, the warehouse sells each can for $0.48. The difference is $0.02.
Answer:
diagram of truss with some angles missing
What are the measures of the angles located at positions a, b, & c? Note: the figure is symmetrical on the vertical through angle b.
The large triangle is an isosceles triangle. The two angles on the base are equal. Angle a = 35°
We now know two angles in the largest triangle. The third angle, angle b must add to these to make 180°.
35° + 35° + b = 180°
b = 180° - 70°
b = 110°
We now know two angles in a quadrilateral. The two unknown angles, including angle c are equal. All four angles add up to 360°.
2c + 110° + 120° = 360°
2c = 360° - 230°
2c = 130°
c = 65°
Step-by-step explanation:
