3. These lengths give a pattern 1, 2, 3, 4, ..., 10,
which is an AP with first term 1 and common difference 1.
4. Sum of first ten terms
= 1 + 2 + 3 + ... +10 = 55
(1)
Area of the shaded region
(area of rectangle ABCD)
==x10x11, which is same as obtained in (1) above. This shows that the
sum of the first 10 natural numbers is
This can be generalised to find the sum of first n
atural numbers as
5.- (+1)
(2)
NCS
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OBSERVATION
For n = 4,S.
For n = 12, S. =
For n = 50, S =
For n = 100, S.
Conclusion

i think the answer is seven, for if i'm being useless °ω°

step-by-step explanation:

s

step-by-step explanation:

i need more details

step-by-step explanation:

answer: the correct option is d.

explanation:

it is given that the triangle j'k'l' shown on the grid below is a dilation of triangle jkl using the origin as the center of dilation.

from the given graph it is noticed that k(4,8) and k'(2,4). let origin is defined by o and scale factor is defined by k, then

    (1)

distance formula,

put these values in equation (1).

therefore scale factor is     and option d is correct.