Answer
True
Work Step by Step
Need to prove:
$\sum_{i=1}^{4}3i+\sum_{i=1}^{4}4i=\sum_{i=1}^{4}7i$
Now, $\sum_{i=1}^{4}3i+\sum_{i=1}^{4}4i=3(1)+3(2)+3(3)+3(4)+4(1)+4(2)+4(3)+4(4)$
or, $=3(1)+4(1)+3(2)+4(2)+3(3)+4(3)+3(4)+4(4)$
This can be re-written as:
or, $=\sum_{i=1}^{4}7i$
Hence, the given statement is true.