Question
If $7^{\text {th }}$ and $13^{\text {th }}$ terms of an AP be 34 and 64 respectively, then find its $18^{\text {th }}$ term.
Step 1
We can write these terms using the formula for the nth term of an AP, which is $a + (n-1)d$, where $a$ is the first term and $d$ is the common difference. So we have: \[a + 6d = 34 \tag{1}\] \[a + 12d = 64 \tag{2}\] Show more…
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