Answer:
<em>0.08192</em>
Step-by-step explanation:
Given 50, 20, 8, ...
The sequence is geometric in nature
The nth term of the geometric sequence is exoressed as;
Tn = ar^{n-1}
a is the first term = 50
r is the common ratio = 20/50 = 8/20 = 2/5
n is the number of term = 8 (since we need the 8th term)
Substitute
T8 = 50(2/5)^{8-1}
T8 = 50(2/5)^7
T8 = 50(128/78,125)
T8 = 0.08192
<em>Hence the 8th term is 0.08192</em>
Answer:
a=4 b=3
Step-by-step explanation:
I just used process of elimination
Y−<span><span>5x</span>6</span>=−1<span>y-<span><span>5x</span>6</span>=-1</span>
<span>AA</span>
must be positive, so multiply both sides of the equation by <span><span>−1</span><span>-1</span></span>
.<span><span>−1⋅<span>(y−<span><span>5x</span>6</span>)</span>=−1⋅−1</span><span>-1⋅<span>(y-<span><span>5x</span>6</span>)</span>=-1⋅-1</span></span>
Simplify the left side of the equation.Tap for more steps...Multiply <span><span>−1</span><span>-1</span></span>
by <span><span>y−<span><span>5x</span>6</span></span><span>y-<span><span>5x</span>6</span></span></span>
to get <span><span>−1<span>(y−<span><span>5x</span>6</span>)</span></span><span>-1<span>(y-<span><span>5x</span>6</span>)</span></span></span>
.<span><span>−1<span>(y−<span><span>5x</span>6</span>)</span>=−1⋅−1</span><span>-1<span>(y-<span><span>5x</span>6</span>)</span>=-1⋅-1</span></span>
Apply the distributive property.<span><span>−1y−1<span>(−<span><span>5x</span>6</span>)</span>=−1⋅−1</span><span>-1y-1<span>(-<span><span>5x</span>6</span>)</span>=-1⋅-1</span></span>
Rewrite <span><span>−1y</span><span>-1y</span></span>
as <span><span>−y</span><span>-y</span></span>
.<span><span>−y−1<span>(−<span><span>5x</span>6</span>)</span>=−1⋅−1</span><span>-y-1<span>(-<span><span>5x</span>6</span>)</span>=-1⋅-1</span></span>
Simplify <span><span>−1<span>(−<span><span>5x</span>6</span>)</span></span><span>-1<span>(-<span><span>5x</span>6</span>)</span></span></span>
.Tap for more steps...Multiply <span><span>−1</span><span>-1</span></span>
by <span><span>−1</span><span>-1</span></span>
to get <span>11</span>
.<span><span>−y+1<span>(<span><span>5x</span>6</span>)</span>=−1⋅−1</span><span>-y+1<span>(<span><span>5x</span>6</span>)</span>=-1⋅-1</span></span>
Multiply <span><span><span>5x</span>6</span><span><span>5x</span>6</span></span>
by <span>11</span>
to get <span><span><span>5x</span>6</span><span><span>5x</span>6</span></span>
.<span><span>−y+<span><span>5x</span>6</span>=−1⋅−1</span><span>-y+<span><span>5x</span>6</span>=-1⋅-1</span></span>
<span><span>−y+<span><span>5x</span>6</span>=−1⋅−1</span><span>-y+<span><span>5x</span>6</span>=-1⋅-1</span></span>
Reorder <span><span>−y</span><span>-y</span></span>
and <span><span><span>5x</span>6</span><span><span>5x</span>6</span></span>
.<span><span><span><span>5x</span>6</span>−y=−1⋅−1</span><span><span><span>5x</span>6</span>-y=-1⋅-1</span></span>
<span><span><span><span>5x</span>6</span>−y=−1⋅−1</span><span><span><span>5x</span>6</span>-y=-1⋅-1</span></span>
Multiply <span><span>−1</span><span>-1</span></span>
by <span><span>−1</span><span>-1</span></span>
to get <span>11</span>
.<span><span><span><span>5x</span>6</span>−y=1</span><span><span><span>5x</span>6</span>-y=<span>1</span></span></span>