The first few partial sums of a series consisting of only positive terms are shown. s Subscript 1 Baseline = one-fourth, s Subscript 2 baseline = StartFraction 5 Over 16 EndFraction, s Subscript 3 Baseline = StartFraction 21 Over 64 EndFraction, ellipsis

Based on this information, what would you conjecture the series converges to? Explain your reasoning.

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle

Kevin has a spinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and purple. kevin spins the spinner 180 times. kevin determines about how many times the spinner will land on red or green, and his work is shown below. -kevin has the formula reversed; it should be the total number of sections over the number of red or green sections. -kevin should have used a 4 in the numerator because there are 2 red sections and 2 green sections. -kevin should multiply by the number of sections in the spinner rather than the total number of spins. -kevin calculated the prediction correctly and did not make any mistakes.

First work with stencil one. use a combination of reflections, rotations, and translations to see whether stencil one will overlap with the original pattern. list the sequence of rigid transformations you used in your attempt, noting the type of transformation, the direction, the coordinates, and the displacement