The first day he jogged for 25 minutes, the next day he wanted to jog for four minutes more than the previous day. He wanted to continue increasing the same amount like this for every one of the 30 days in April .Write a recursive rule that represents the sequence.

The first day he jogged for 25 minutes.

the day afterm he jodef for (25 + 4)  minutes.

and he wants to keep ading 4 minutes per day, so if Xₙ is the amount of time that he ran each day (X₁ = 25 minutes, X₂ = 29 minutes, and so on)

The recursive relation will be:

Xₙ = Xₙ₋₁ + 4 min

for n > 1 and n ≤ 30 (because he will do it only for the 30 days of April), where X₁ = 25 minutes

x= 149. 24+7=31. 180-31=149

your welcome

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12