Find the first five terms of the sequence described. a1=3, an+1=an+5 8. Find the sum of the infinite series, if it exists. 100+20+4+… 9. Find the sum of the geometric series. ∑k=232[9(−1)k−1] 10. Find the indicated term of the arithmetic sequence. Find a23 in the sequence −18, −34, −50, −66, … 11. Find the first three terms of the arithmetic series described. n=16, an=15, Sn=−120 12. Find the first three terms of the arithmetic series described. n=15, an=45, Sn=45 13. Find the sum of the infinite series, if it exists. −270+135−67.5+… 14. Find S9 for the geometric sequence: an=2∙5n−2

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step-by-step explanation:

(23*2)-12=x     x=34

step-by-step explanation:

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).