Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges. StartFraction 13 Over 2 times 3 EndFraction plus StartFraction 13 Over 3 times 4 EndFraction plus StartFraction 13 Over 4 times 5 EndFraction plus midline ellipsis plus StartFraction 13 Over (n plus 1 )(n plus 2 )EndFraction plus midline ellipsis

Looks like the series is supposed to be

or in condensed form,

Decompose the summand into partial fractions:

So the th partial sum of the series is

As , the second term converges to 0, leaving the value of the infinite series,

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

3/6 chance

step-by-step explanation:

half of the nubers are odd numbers (1,3,5) which in that case if you would be told to simplify it would be 1/2