Question

The sum of 'n' terms of an arithmetic sequence is 2nsquare +3n.What is the common difference of the sequence.​

Answer 1

Answer:

$</p><p></p><p><div class="emoji emoji_robot"></p><p><div class="emoji__siren"></div></p><p><div class="emoji__face"></p><p><div class="emoji__connector"></div></p><p><div class="emoji__eyes"></p><p><div class="emoji__eye"></div></p><p><div class="emoji__eye"></div></p><p></div></p><p><div class="emoji__nose"></div></p><p><div class="emoji__mouth"></div></p><p></div></p><p></div></p><p></p><p><style></p><p></p><p>:root {</p><p>--color-white: #fff;</p><p>--color-dark: #4b4241;</p><p>--color-bg: #fffcee;</p><p>--tooth-pos: 6px;</p><p>}</p><p></p><p>* {</p><p>padding: 0;</p><p>margin: 0;</p><p>box-sizing: border-box;</p><p>}</p><p></p><p>body {</p><p>height: 100vh;</p><p>width: 100vw;</p><p>padding: 30px;</p><p>display: grid;</p><p>place-items: center;</p><p>background-color: var(--white);</p><p>}</p><p></p><p>.emoji {</p><p>width: 106px;</p><p>height: 106px;</p><p>position: relative;</p><p>border: 1px solid rgba(255, 255, 255, 0);</p><p>border-radius: 26%;</p><p>box-shadow: inset -8px -7px 0px rgba(0, 0, 0, 0.05);</p><p>}</p><p>.emoji_robot {</p><p>background: #54cae2;</p><p>background: linear-gradient(180deg, #6ed0e4 0%, #4abbe3 50%, #4ec2e5 100%);</p><p>}</p><p>.emoji_robot .emoji__siren {</p><p>position: absolute;</p><p>top: -4px;</p><p>left: 50%;</p><p>border-radius: 3px;</p><p>width: 18px;</p><p>height: 10px;</p><p>background-color: var(--color-dark);</p><p>margin-left: -9px;</p><p>}</p><p>.emoji_robot .emoji__siren::before {</p><p>content: '';</p><p>position: absolute;</p><p>top: -7px;</p><p>width: 14px;</p><p>height: 7px;</p><p>background: #f9dc2e;</p><p>background: radial-gradient(circle, #f9dc2e 0%, #f9a02e 100%);</p><p>margin-left: -7px;</p><p>left: 50%;</p><p>border-top-left-radius: 6px;</p><p>border-top-right-radius: 6px;</p><p>animation: flasher 0.5s ease-in-out infinite;}</p><p>@keyframes flasher {</p><p>0% {</p><p>transform: scale(1.2);</p><p>}</p><p>50% {</p><p>transform: scale(1);</p><p>}</p><p>100% {</p><p>transform: scale(1.2);</p><p>}</p><p>}</p><p>..emoji_robot .emoji__face {</p><p>width: 100%;</p><p>height: 100%;</p><p>overflow: hidden;</p><p>position: relative;</p><p>margin-top: -1px;</p><p>}</p><p>.emoji_robot .emoji__connector {</p><p>width: 26px;</p><p>height: 20px;</p><p>border-radius: 50%;</p><p>top: -9px;</p><p>position: absolute;</p><p>background-color: var(--color-dark);</p><p>left: 52px;</p><p>margin-left: -13px;</p><p>z-index: 10;</p><p>}</p><p>.emoji_robot .emoji__eyes {</p><p>position: relative;</p><p>display: flex;</p><p>justify-content: space-between;</p><p>top: 24px;</p><p>width: 58px;</p><p>margin: 0 auto;</p><p>}</p><p>.emoji_robot .emoji__eye {</p><p>position: relative;</p><p>display: flex;</p><p>align-items: center;</p><p>justify-content: center;</p><p>background-color: var(--color-white);</p><p>width: 28px;</p><p>height: 28px;</p><p>border-radius: 50%;</p><p>}</p><p>.emoji_robot .emoji__eye:after {</p><p>content: '';</p><p>width: 12px;</p><p>height: 12px;</p><p>background-color: var(--color-dark);</p><p>border-radius: 50%;</p><p>animation: eye-anima 0.5s ease infinite;</p><p>}</p><p>@keyframes eye-anima {</p><p>0% {</p><p>transform: scale(1.2);</p><p>}</p><p>50% {</p><p>transform: scale(1);</p><p>}</p><p>100% {</p><p>transform: scale(1.2);</p><p>}</p><p>}</p><p>.emoji_robot .emoji__mouth {</p><p>width: 60px;</p><p>margin: 0 auto;</p><p>height: 18px;</p><p>background: repeating-linear-gradient(90deg, var(--color-dark), var(--color-dark) 3px, #fff 3px, #fff 15px), var(--color-dark);</p><p>background-position: 6px;</p><p>border-radius: 8px;</p><p>top: 38px;position: relative;</p><p>animation: tooth-pos 13s linear infinite;</p><p>}</p><p>@keyframes tooth-pos {</p><p>to {</p><p>background-position: 200px;</p><p>}</p><p>}</p><p>.emoji_robot .emoji__nose {</p><p>position: absolute;</p><p>top: 50%;</p><p>left: 50%;</p><p>margin-top: 2px;</p><p>margin-left: -2px;</p><p>background-color: var(--color-dark);</p><p>transform: rotate(60deg) skewX(-30deg) scale(1, 0.866);</p><p>}</p><p>.emoji_robot .emoji__nose, .emoji_robot .emoji__nose::before, .emoji_robot .emoji__nose::after {</p><p>width: 7px;</p><p>height: 7px;</p><p>border-top-right-radius: 60%;</p><p>}</p><p>.emoji_robot .emoji__nose::before, .emoji_robot .emoji__nose::after {</p><p>content: '';</p><p>position: absolute;</p><p>background-color: inherit;</p><p>}</p><p>.emoji_robot .emoji__nose::before {</p><p>transform: rotate(-135deg) skewX(-45deg) scale(1.414, 0.707) translate(0, -50%);</p><p>}</p><p>.emoji_robot .emoji__nose::after {</p><p>transform: rotate(135deg) skewY(-45deg) scale(0.707, 1.414) translate(50%);</p><p>}</p><p></p><p></style></p><p></p><p>$