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3 years ago

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Mathematics

1 answer:

slavikrds [6]3 years ago

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Find the sum of the first six terms of the sequence. S6 = ⇒ 84

k0ka [10]

Answer:

Explained below.

Step-by-step explanation:

Consider the series is a set of first 6 natural numbers.

Sum of first n terms is:

$\text{Sum of n terms}=\frac{n(n+1)}{2}$

$\text{Sum of first 6 terms}=\frac{6(6+1)}{2}$

$=3\times7\\=21$

Consider the series is an arithmetic sequence.

Sum of first n terms is:

$S_{n}=\frac{n}{2} [2a+(n-1)d]$

Here,

a = first term

d = common difference

Consider the series is an geometric sequence.

Sum of first n terms is:

$S_{n}=\frac{a_{1}\cdot(1-r^{n})}{(1-r)}$

Here,

a₁ = first term

r = common ratio

7 0

3 years ago

What is the value of 3ab+ 5b - 6 when a = - 1and b = 3

Fantom [35]

Answer:

the answer is 0

4 0

3 years ago

Read 2 more answers

In a circuit electrons flow in one direction.

dexar [7]

Answer:

true

Step-by-step explanation:

let me know if this is right

4 0

3 years ago

Read 2 more answers

2. Find the fraction which is exactly halfway between 1/7 and 4/7

Ksivusya [100]

Answer:

That would be the fraction exactly between 2/7 and 3/7

which would be 2.5 / 7 or 5 / 14

Step-by-step explanation:

4 0

3 years ago

What is the value of b?

tresset_1 [31]

Answer:

Step-by-step explanation:

Using the law of cosines in ΔABC

b² = a² + c² - (2ac cosB) ← substitute in values

= 25² + 28² - (2 × 25 × 28 × cos36.9°)

= 625 + 784 - 1400 cos36.9°

= 1409 - 1400 cos36.9° ( Take the square root of both sides )

b = $\sqrt{1409-1400cos36.9}$ ≈ 17 ( nearest whole number )

8 0

4 years ago