# Thread:

1. ## INTEGER SEQUENCES

the nth term of a sequence is given by this formula:

nth term = 62 - 5n

Find an expressipn, in terms of n, for the sum of the nth term and (n+1)th term of the sequence. thanks

2. Hello, abey_27!

It seems simple enough . . . Exactly where is your difficulty?

The $n^{th}$ term of a sequence is given by: . $a_n \:=\:62-5n$

Find an expression, in terms of $n$,
for the sum of the $n^{th}$ term and $(n+1)^{th}$ term of the sequence.

We have:. $\begin{array}{ccc}a_n &=& 62 - 5n \\<br /> a_{n+1} &=& 62-5(n\!+\!1) \end{array}$

Therefore: . $a_n + a_{n+1} \;=\;[62-5n] + [62-5(n+1)] \;=\;119 - 10n$

3. i didnt really understand what it meant by 'sum of the nth term', so is that simply just the formula nth term= 62-5n ?
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 7, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "github"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "english_confidence": 0.9304230809211731, "perplexity_flag": "middle"}