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Find the number of terms in the series 2, 5, 8, ... if the last term is 95. |
Answer» <html><body><p><strong><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a>:</strong></p><p> <a href="https://interviewquestions.tuteehub.com/tag/term-1241851" style="font-weight:bold;" target="_blank" title="Click to know more about TERM">TERM</a> <a href="https://interviewquestions.tuteehub.com/tag/32-307188" style="font-weight:bold;" target="_blank" title="Click to know more about 32">32</a> </p><p></p><p><strong>Step-by-step <a href="https://interviewquestions.tuteehub.com/tag/explanation-455162" style="font-weight:bold;" target="_blank" title="Click to know more about EXPLANATION">EXPLANATION</a>:</strong></p><p><img align="absmiddle" alt="a = 2. \: d = 3. \: tn = 95 \\ t _{n} = a + (n - 1)d \\ 95 = 2 + (n - 1)3 \\ 95 = 2 + 3n - 3 \\ 95 = - 1 + 3n \\ 95 + 1 = 3n \\ 96 = 3n \\ n = \frac{96}{3} \\ n = 32" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=a%20%3D%202.%20%5C%3A%20d%20%3D%203.%20%5C%3A%20tn%20%3D%2095%20%5C%5C%20%20t%20_%7Bn%7D%20%3D%20a%20%2B%20%28n%20-%201%29d%20%5C%5C%2095%20%3D%202%20%2B%20%28n%20-%201%293%20%5C%5C%2095%20%3D%202%20%2B%203n%20-%203%20%5C%5C%2095%20%3D%20%20-%201%20%2B%203n%20%5C%5C%2095%20%2B%201%20%3D%203n%20%5C%5C%2096%20%3D%203n%20%5C%5C%20n%20%3D%20%20%5Cfrac%7B96%7D%7B3%7D%20%20%5C%5C%20n%20%3D%2032" title="a = 2. \: d = 3. \: tn = 95 \\ t _{n} = a + (n - 1)d \\ 95 = 2 + (n - 1)3 \\ 95 = 2 + 3n - 3 \\ 95 = - 1 + 3n \\ 95 + 1 = 3n \\ 96 = 3n \\ n = \frac{96}{3} \\ n = 32"/></p><p></p></body></html> | |