Find the 32nd term of this sequence: 9,4,-1,-6,-11,....

Mathematics

2 answers:

crimeas [40]2 years ago

3 0

Answer:

-146, but I could be wrong, so wait till someone else answers

Step-by-step explanation:

frez [133]2 years ago

3 0

t=a+(n-1)d

t=9+(32-1)(-5)

t=-146

Note you can use this equation.

Where n is the term

t is your value

d is your common difference or rate

Where a is your starting value

The -1 is there because your first term counts as a term and 9 is your first terms.

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Arturiano [62]

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the diagram shows a star made by surrounding a regular octagon with triangles, explain why angle a must be 135 degrees

horsena [70]

Answer:

From the sum of angles on a straight line, given that the rotation of each triangle attached to the sides of the octagon is 45° as they move round the perimeter of the octagon, the angle a which is supplementary to the angle turned by the triangles must be 135 degrees

Step-by-step explanation:

Given that the triangles are eight in number we have;

1) (To simplify), we consider the five triangles on the left portion of the figure, starting from the bottom-most triangle which is inverted upside down

2) We note that to get to the topmost triangle which is upright , we count four triangles, which is four turns

3) Since the bottom-most triangle is upside down and the topmost triangle, we have made a turn of 180° to go from bottom to top

4) Therefore, the angle of each of the four turns we turned = 180°/4 = 45°

5) When we extend the side of the octagon that bounds the bottom-most triangle to the left to form a straight line, we see the 45° which is the angle formed between the base of the next triangle on the left and the straight line we drew

6) Knowing that the angles on a straight line sum to 180° we get interior angle in between the base of the next triangle on the left referred to above and the base of the bottom-most triangle as 180° - 45° = 135°.