SOLUTION: write a rule for the nth term of the arithmetic sequence of the followings: 1. d=4, a14=46 2. d=5/3, a8=24 3. d=-6, a12=-4 4. a5=17, a15=77 5. a2=-28, a20=52 6. d

Question 549927: write a rule for the nth term of the arithmetic sequence of the followings:
1. d=4, a14=46
2. d=5/3, a8=24
3. d=-6, a12=-4
4. a5=17, a15=77
5. a2=-28, a20=52
6. d=-4.1, a16=48.2
7. a7=34, a18=122
much help would be appreciated with full works please, not just the answer. thank you very much for ur help and happy new year as well as merry christmas!
Answer by prateekagrawal(56) (Show Source): You can put this solution on YOUR website!
Here the formula is
Tn= a+ (n-1)d
so, for nth term we need to know first term and d.
1. d=4, a14=46
here n=14, tn= 46 and d=4
so,
46 = a+(14-1)*4 = a+13*4
46= a+ 52
so, a= -6
so, nth term is Tn= -4 +(n-1)4
or,
Tn= -4+4n-4
Tn= 4n-8
or
an= 4n-8
Tn and an are notations for nth term only.
in the same way we can do other parts of this also.
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