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brcinsf
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We have t(n)=t(1)-(n-1)*3
So if t(n)=-4 => 23-3*(n-1)=4 => n=10
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You can quickly go from t1 = 23 and list out the values
{23, 20, 17, 14, 11, 8,5,2,-1, -4} i.e. 10
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It's all about the pattern! Thank you everyone.

-Tru
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tn = t1 + (n-1)d; question specifies d = -3

=> -4 = 23 - 3n + 3 => n = 30.
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brcinsf
It's all about the pattern! Thank you everyone.

-Tru


Use nth term of a sequence = first_term+(n -1)(difference_in_terms)
(or usually remembered as Tn = a+(n-1)d

so -4 = 23 + (n-1)(-3) = 23 -3n +3

-4 = 26 -3n => n =10



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