What is the 31st term of the arithmetic sequence for 1.77, 1.92,2.07

Given that sequence 1.77, 1.92,2.07 is arithmetic sequence.

Using that we have to find 31st term.

To find that we can use nth term formula of arithmetic sequence which is given by:

where n is the number of term so n=31

t_n indicates nth term

a_1 is the first term so a_1=1.77

r is the common difference which is given by difference of consecutive terms

then r=1.92-1.77=0.15

Now plug these values into above formula

Hence final answer is 6.27.

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

29 mil

step-by-step explanation: