What is the sum of the arithmetic sequence 152, 138, 124, …, if there are 24 terms?

Question

the value of v.w= -12.

Raymond Moen · Accepted Answer

(24/2){2(152) + (24-1)(-14)} = -216. -216 is the sum of the sequence.

Raymond Moen · Answer

Hello : 124-138=138-152 = -14 (common diference)the sum of  24 terms is : S = n/2( U1 +U 24 )n= 24     U1 = 152Un = U1+(n-1)d d = -14n=24 : U24 = 152+(24-1)(-14) =152-322 = -170S= 24/2(152-170) = 12(-18) = - 216

Raymond Moen · Answer

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-2kv=2i-8j-8kand w= -2i+6j-5kwhere 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=0i.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 = -12hence, v.w= -12

Raymond Moen · Answer

$650 per month plus utilitiesstep-by-step explanation: just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.

Major Spinka DVM

What is the sum of the arithmetic sequence 152, 138, 124, …, if there are 24 terms?

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