tmua 2022 Q8

tmua · Uk · paper2 1 marks Arithmetic Sequences and Series Counting or Combinatorial Problems on APs

A selection, $S$, of $n$ terms is taken from the arithmetic sequence $1,4,7,10 , \ldots , 70$. Consider the following statement: (*) There are two distinct terms in $S$ whose sum is 74 .
What is the smallest value of $n$ for which (*) is necessarily true?
A 12
B 13
C 14
D 21
E 22 F 23

..... 10

A selection, $S$, of $n$ terms is taken from the arithmetic sequence $1,4,7,10 , \ldots , 70$.\\
Consider the following statement:\\
(*) There are two distinct terms in $S$ whose sum is 74 .

What is the smallest value of $n$ for which (*) is necessarily true?

A 12\\
B 13\\
C 14\\
D 21\\
E 22\\
F 23

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20