Answer:
you just need to key in these numbers into your calculator:
T1 = a
=43.8
T2= 43.8 + (2-1)(-1.2)
T3= 43.8 + (3-1)(-1.2)
T4= 43.8 + (4-1)(-1.2)
Step-by-step explanation:
in AP, you need to know <u>[Tn= a + (n-1)d]</u>
now in this case, a= Term1 or T1
n= number of terms (eg. T8)
d= differences (the differences
between 2 terms)
<u>step1: analyse what hint is given to u</u>
given:
T10 = 33
T22 = -3
then the question asked for first 4 terms :
T1, T2, T3 and T4, meaning these r the ones you need to find
<u>step2: use what u have </u>
in this problem, you hv no choice but to use simultaneous equation (im using substitution method btw cause i dont know how to do elimination method :D)
Tn= a + (n-1) d
fisrt, im gonne do equation for term 10/T10=33
T10= a + (10-1)d
33 = a +9d (bring 9d to the other side or over "=")
a = 33-9d ----- <em><u>equation 1</u></em>
Tn= a + (n-1) d
next, im gonne do equation for term 22/T22= -3
T22= a + (22-1)d
-3 = a + 21d (bring 21d to the other side or over
"=")
a = -3-21d ----- <em><u>equation 2</u></em>
<u>step3: subs. <em>equation1</em> =<em> equation2</em> by substitution</u>
a = a
33+9d = -3-21d
21d+9d = -3-33
30d = -36
d = -1.2
now ypu have d value, sub it into any equation you like. for me, i used <em><u>equation 1</u></em>
sub d = -1.2 into <em><u>equation 1,</u></em> a = 33 -9d
a = 33 - 9( -1.2)
=43.8
Therefore,
T1/a = 43.8
now, for the rest of the terms hv already been typed for you (above, under the answer word). all you hv to do now is to key it into your calculator :D
