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2 years ago

B(n)=1 (-2)^n-1 What is the 4th term in the sequence

Mathematics

1 answer:

Vera_Pavlovna [14]2 years ago

3 0

Answer:

The 4th term in the sequence is -8.

Step-by-step explanation:

The nth term of the sequence B is given by:

$B(n) = (-2)^{n-1}$

So the fourth term will be given by:

B when n = 4, that is, B(4).

$B(4) = (-2)^{4-1} = (-2)^{3} = -8$

The 4th term in the sequence is -8.

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A sum amount to rupees 34476 in two and a half years at 4% CI. the sum is

Kruka [31]

Given:

Amount = Rs. 34476

Rate of compound interest = 4%

Time = $2\dfrac{1}{2}=2.5$ years

To find:

The principal value.

Solution:

Formula for amount is

$A=P\left(1+\dfrac{r}{100}\right)^t$

Where, P is principal value, r is rate of interest and t is time in years.

Putting the given values, we get

$34476=P\left(1+\dfrac{4}{100}\right)^{2.5}$

$34476=P\left(1+0.04\right)^{2.5}$

$34476=P\left(1.04\right)^{2.5}$

$\dfrac{34476}{\left(1.04\right)^{2.5}}=P$

Now,

$P=31256.0090$

$P\approx 31256$

Therefore, the value of sum or principal value is Rs.31256.

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2 years ago

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Black_prince [1.1K]

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3 years ago

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2 years ago

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3 years ago

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NARA [144]

Answer:

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Step-by-step explanation:

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2 years ago

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