Pure Math 1

The sum of the first 20 terms of an arithmetic progression is 405, and the sum of the first 40 terms is 1410. Find the 60th term of the progression.

• 90.0

• 94.0

• 93.5

• 94.5

• 243-810x+1080x^2

  b) -11043

• 243-810x+1080x^2

  b)11043

• 243-810x-1080x^2

  b)-11043

• 243+810x-1080x^2

  b)11043

Given the graph of the function y = a tan(x-b) + c, where 0 < b < π, determine the values of the constants a, b, and c.

• a = 1, b = π/2, c = π/4

• a = 1, b = π/2, c = 0

• a = 1, b = π/4, c = π/2

The fifth, sixth, and seventh terms of a geometric progression are 8k, -12, and 2k respectively. Given that k is negative, find the sum to infinity of this progression.

• -768

• -384

• 384

• 768

• k = 2

• k = 5

• k = 3

• k = 4

• θ = 35.3° and 54.7°

• θ = 35.3° and 324.7°

• θ = 35.3° and 144.7°

• θ = 35.3° and undefined

• Range of f is f(x)⩾ −4

  x = 3

• Range of f is f(x)⩾ −3

  x = 4

• Range of f is f(x)⩾ 3

  x = -4

• Range of f is f(x)⩾ 4

  x = -3

• a=

  10/3

  or

  3

• a=

  -10/3

  or

  -3

• a=

  10/3

  or

  -3

• a=

  -10/3

  or

  3

• 7, 11

• -7, 11

• -7, -11

• 7, -11