What is the 87th term of the arithmetic sequence?

−1352,−1334,−1316,−1298,−

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what is the limit of the infinite series? enter your answer in the box. enter any fraction as a simplified fraction. ∑n=1∞(3n54n5+1)/ it's in the picture you'll read it.

how is the sum expressed in sigma notation? /also in picture.

1/64+1/16+1/4+1+4


the first term of a geometric sequence is −2100 . the common ratio of the sequence is −0.1 .

what is the 7th term of the sequence?

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the first term of a geometric sequence is 48, and the 5th term of the sequence is 24316 .

what are the geometric means between these terms?

enter your answer by filling in the boxes to correctly complete the geometric sequence. enter any fractions as simplified fractions.

Step-by-step explanation:

1) The first term is -1352, and the common difference is 18.  So the 87th term is:

a = -1352 + 18 (87 − 1)

a = 196

2) 1/64 + 1/16 + 1/4 + 1 + 4

This is a geometric series, where the first term is 1/64 and the common ratio is 4.

∑⁵ᵢ₌₁ 1/64 (4)ⁱ⁻¹

Since 1/64 = 4⁻³:

∑⁵ᵢ₌₁ 4⁻³ (4)ⁱ⁻¹

∑⁵ᵢ₌₁ (4)ⁱ⁻⁴

3) The first term is -2100, and the common ratio is -0.1, so the 7th term is:

a = -2100 (-0.1)⁷⁻¹

a = -0.0021

4) The first term is 48, and the fifth term is 243/16, so the common ratio is:

243/16 = 48 r⁵⁻¹

81/256 = r⁴

r = 3/4

So the sequence is:

48, 36, 27, 81/4, 243/16

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.