Write a recursive rule an explicit rule for the geometric sequence 12, 3, 3/4, 3/16

Step-by-step explanation:

Recursive Rule

For a geometric sequence with first term a1 and common ratio r, the recursive rule is always ...

  a[n] = r×a[n-1], a[1] = a1

For your first term a1 = 12 and common ratio r = 1/4, the recursive rule is ...

  a[n] = (1/4)×a[n-1], a[1] = 12

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Explicit Rule

For the same geometric sequence, the explicit rule is ...

  a[n] = a1×r^(n-1)

For your sequence, the explicit rule is ...

  a[n] = 12×(1/4)^(n-1)

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1

your answer is b ^w^ hope i