3 years ago

What is the 11th term of the sequence: 7, 13, 19, 25, ....

Mathematics

2 answers:

wel3 years ago

8 0

pattern is adding 6

so the 11th would be 67

vodomira [7]3 years ago

6 0

Adds 6 each time so the nth term rule is
6n+1
the +1 because you take away the amount you add by from the first term
The substitute 11 into this so
6x11=66
66+1=67
11th term is 67

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The 13th term of a geometric sequence is 16, 384 and the first term is 4. What is the common ratio?

AleksAgata [21]

Answer:

$\large \boxed{2}$

Step-by-step explanation:

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

In your geometric sequence, a₁ = 4 and a₁₃ = 16 384.

$\begin{array}{rcl}16384 & = & 4r^{(13 - 1)}}\\16384 & = & 4r^{12}\\4096 & = & r^{12}\\3.6124 & = & 12 \log r\\0.30102 & = & \log r\\r & = & 10^{0.30102}\\ & = & \mathbf{2}\\\end{array}\\\text{The common ratio is $\large \boxed{\mathbf{2}}$}$