What is the equation of an arithmetic sequence with a first term of 6 and a second term of 2?

Mathematics

1 answer:

kifflom [539]3 years ago

3 0

Answer:

The equation of the sequence = 10 - 4n

Step-by-step explanation:

The rule of the arithmetic sequence is Tn = a + (n - 1)d

Where a is the first term , d is the difference between each consecutive terms and n is the position of the number in the sequence

∵ First term = 6

∵ Second term = 2

∴ The difference between the second and the first = 2 - 6 = -4

∴ Tn = 6 + (n - 1)(-4) = 6 - 4n + 4 = 10 - 4n

∴ The equation of the sequence = 10 - 4n

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Afina-wow [57]

5a) rotational symmetry is 2 because it can be rotated only 2 times before it turns to the original form.

b) perimeter is the total surface of all the sides so, because we are given a scale of 1 unit = 1cm then our measurements would be: 4cm + 3cm + 2cm + 1cm + 4cm + 3cm + 2cm + 1cm = 20cm.

c) To workout the area we need to divide the irregular shape into separate regular shapes. the diagram will help you! Shape 1 is a rectangle so, area = L × W = 3 × 2 = 6cm. Shape 2 is a square so, area = side² = 2² = 4cm. Shape 3 is the same as shape 1 so the area is 6cm. Now to find the area of the whole shape we add these values so, 6+4+6= area of shape = 16cm.